Question

Phyllis solved the compound inequality 16 ≤ 2(3x – 1) < 28. She began by first breaking the inequality into two separate inequalities, then she correctly solved each for x.

Which graph represents her solution?

Answer 1

Answer:

Step-by-step explanation:

i) given equation is 16 ≤ 2(3x - 1) < 28

ii) separating the above into two equations we get

   2(3x - 1) ≥ 16   $\Rightarrow$ 3x - 1 ≥ 8  $\Rightarrow$ 3x ≥ 9 $\Rightarrow$   x ≥ 3

and

2(3x - 1) < 28 $\Rightarrow$  3x - 1 < 14 $\Rightarrow$    3x < 15    $\Rightarrow$  x < 5

The graph representing Phyllis solution is given as graph attached.