Chapter 7 Review Answers Grater Less Grate 1

In mathematics, the greater than symbol is a basic mathematical symbol which is used to represent the inequality between ii values. The symbol used to stand for the greater than inequality is " > ". This is the universally adopted math symbol of two equal length strokes joining in the acute angle a t the right. Too, learn less than symbol , which denotes merely the opposite of greater than expression.

The typical use of the greater than symbol is to compare ii values in which the first number is greater than the second number or one value is greater than the other one. The greater than symbol is an approximation of a closing bending bracket. We can run into its huge awarding in descending order , where the system from the largest number to smallest number is done using greater than a symbol.

Greater than Symbol Instance

• 5 > 2: five is greater than 2
• 1.2 > 0.8: one.2 is greater than 0.eight
• -0.1 > -0. 6: -0.one is greater than -0.half dozen

Here the list of all the symbols along with greater than symbol with its definition and examples are given in detail.

Symbol	Description	Case
=	Equal to	3+two = 5
≠	Non equal to	4 + 2 ≠ 5
>	Greater than	6 > 4
≥	Greater than or equal to	Students ≥ 5
<	Less than	three < 5
≤	Less than or equal to	Students ≤ fifty

How to Employ Greater than Symbol?

The best mode to remember the greater than symbol is the alligator method. When you compare two values, think of the alligator method. We know that the alligator's rima oris is always pointed to the largest value equally it can eat as much as possible. In order to represent the greater value by using greater than symbol the alligator mouth always opens to the left.

Greater than And Less than Symbol

To represent the greater value by comparison with other numbers, the alligator's mouth is always towards the larger value. To represent the inequality between ii numbers say 6 and eight, it is written in ii different ways as given below.

Greater than Sign

• • 8 > 6 (or)

Less than Sign

The in a higher place expression tin also be represented using less than sign every bit:

• • 6 < eight

Both give the same significant as 8 is greater than 6.

In that location are another terminologies used alternately with greater than such equally more, as much as, every bit old as, non less than, or at least.

Greater Than or Equal to Sign

Sometimes nosotros may observe scenarios where the result obtained by solving an expression  for a variable, which are greater than or equal to each other. In such cases, we can utilise the greater than or equal to symbol, i.e. ≥. For example, x ≥ -3 is the solution of a sure expression in variable x.

Give-and-take Bug

Earlier solving the greater than symbol inequality give-and-take problems, make attention to some strategies given below to solve the trouble

• Go through the entire problem
• Highlight the important keywords to solve the problem
• Recognize the variables
• Write down the equation
• Solve the problem
• Write the solution in a consummate judgement format
• Justify the answer.

Question: Ramya has 500 rupees in a savings account at the first of the summer. She wants to take at least rupees 200 in the business relationship by the cease of the summer. She withdraws rupees 25 every week. Write the inequality expression that represents the Ramya situation.

Solution:

• • Highlight the important keyword given

The keyword given here is at to the lowest degree

• • Assume the variable

Let x be the number of weeks

• • And so, the inequality expression is

500 – 25x ≥ 200

Note that here we used greater than or equal symbol instead of using greater than a symbol considering Ramya wants to accept money which is equal to greater than 200 past the terminate of the summertime. So, greater than or equal to the inequality symbol is used.

Examples

Example i: Make full in the blanks with the suitable sign.

1. 45 ____ 84
2. 77 ____ 76
3. 12 + 27 ____ 39
4. 98 – 23 ____ 54

Solution:

1. 45 < 84
2. 77 > 76
3. 12 + 27 = 39
4. 98 – 23 ____ 54

Here, 98 – 23 = 75 > 54

Thus, 98 – 23 > 54

Example 2: In the following pair of numbers, place the greater number and write using the symbol.

-18, -25; -1.v, -1.8

Solution:

Given numbers are: -eighteen, -25

In negative numbers, the number with greater numeral value is less than the number with lesser numerical value.

Thus, -18 is greater than -25, i.due east. -18 > -25.

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Oftentimes Asked Questions – FAQs

What do you mean by greater than symbol?

Greater than symbol is used when we have to compare two values, in which 1 value is greater than another value. It is denoted by the symbol '>'. Examples are:
10>9, 10 is greater than 9 which is true
7>1, 7 is greater than 1
5>2, five is greater than ii

What practise you mean past less than symbol?

Less than symbol is used to compare 2 quantities where one is smaller than the other. Information technology is denoted by the symbol '<'. Examples are:
9<10, 9 is less than 10
1<7, 1 is less than 7
ii<5, 2 is less than 5

What is smaller than the symbol?

The smaller than symbol is, the less than a symbol, used to compare if one value is smaller than the other one. For example, viii is smaller than 10, viii<x.

What is greater than or equal to a symbol?

In linear inequalities, greater than or equal to the symbol is used when we are uncertain if the 1 value is greater than or equal to another value. Information technology is represented past the symbol '≥'. In the same style, less than or equal to a symbol (≤) is used to represent when i quantity is either smaller than or equal to another quantity.
Example: 4x + 7 ≥ 6x +3

Which is greater 0.v or 0.25?

0.v is greater than 0.25. Symbolically information technology is represented as 0.5>0.25.

Which is greater ⅗ or ½?

Nosotros can check either by rationalising the denominator or finding the bodily value of ⅗ and ½.
Past rationalisation, we become;
⅗ 10 (2/two) and ½ 10 (v/5)
half-dozen/ten and five/x
So as we tin can run across denominators are equal and half dozen is greater than v, therefore,
⅗ > ½
Check:
⅗ = 0.vi and ½ = 0.5
0.vi>0.5

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