Question

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

x greater than or equal to −5

x less than or equal to −5

−5 less than or equal to x

A number line with a closed circle on negative 5 and shading to the right

Answer 1

c

Explanation:

Answer 2

Let us solve the inequality first

`2(x-1)\ge -12`

Dividing through by 2 gives

`(x-1)\ge -6`

Grouping like terms gives

`x\ge -6+1`

This implies that;

`x\ge -5`

This corresponds to option A in words

If we rewrite as

`-5\le x`

it will correspond to option C in words

Representing on diagram corresponds to option D (See attachment)

All are correct ways to represent the solution except B.

The correct answer is option B