Question

Which of the following is not a way to represent the solution of the inequality

3(2x − 1) greater than or equal to 4(2x − 3) − 3?

x less than or equal to 6

6 greater than or equal to x A number line with a closed circle on 6 and shading to the left

A number line with a closed circle on 6 and shading to the right

Answer 1

`3(2x-1)\geq 4(2x-3)-3`

`6x-3\geq 8x-12-3`

`6x-8x\geq -12-3+3`

`-2x\geq -12`

`x\leq 6`

1. x less than or equal to 6 - TRUE

2. 6 greater than or equal to x - TRUE

3. A number line with a closed circle on 6 and shading to the left - TRUE

4. A number line with a closed circle on 6 and shading to the right - FALSE

Answer 2

D) A number line with a closed circle on 6 and shading to the right

Explanation:

Which of the following is not a way to represent the solution of the inequality

?

3(2x- 1) greater than or equal to 4(2x-3)-3?

`3(2x-1) \geq 4(2x-3)-3`

`6x-3 \geq 8x-12-3`

`6x-3 \geq 8x-15`

`6x-8x \geq -15+ 3`

`-2x \geq -12`

`x\leq (-12)/(-2)`

`x\leq 6`

So option D) A number line with a closed circle on 6 and shading to the right is incorrect. Rest all options are correct.