Translating a Sentence by Using an Inequapty Symbol

Inequapty is a statement that two quantities are not equal.

These are the following inequapty signs for any two quantities A, B

<, A < B; A is less than B

≥, A ≤ B, A is less than or equal to B

>, A > B; A is greater than B

≥, A ≥ B, A greater than or equal to B

≠, A ≠ B; A not equal to B

Definition

Equations and inequapties are both mathematical sentences that relate two expressions to each other.

In an inequapty, the two expressions are related by the symbols: >, <, ≤ or ≥

An equation or an inequapty that contains at least one variable is called an open sentence.

When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequapty.

Write an inequapty for the following statement

4 greater than or equal to p

Solution

Step 1:

We start from the left and proceed towards the right

On the left, there is 4 and on the right, there is ‘p’ and the inequapty ‘greater than or equal to’ in the middle

Step 2:

So the statement “4 greater than or equal to p” translates to

4 ≥ p

Write an inequapty for the following statement

y less than or equal to 6

Solution

Step 1:

We start from the left and proceed towards the right

On the left, there is y and on the right, there is ‘6’ and the inequapty ‘less than or equal to’ in the middle

Step 2:

So, the statement “y less than or equal to 6” translates to

y ≤ 6