Question

Which compound inequality could this graph be the solution of?

Answer 1

A. this is the answer that works. x >= -4 and x <= 6

Answer 2

Option: A is the correct answer.

A. x+6 ≥ 2 and 2x-3 ≤ 9

Explanation:

From the graph that is provided to us we see that the solution set is:

x ≥ -4 and x ≤ 6

using the first equality we have:

x ≥ -4

on adding 6 on both side of the inequality we have:

x+6 ≥ -4+6

i.e. x+6 ≥ 2

and using the second inequality we have:

x ≤ 6

i.e. on multiplying both side of the inequality by 2 we get:

2x ≤ 12

Now on subtracting both side by 3 we get:

2x-3 ≤ 12-3

⇒ 2x-3 ≤ 9

Hence, the compound inequality that graph be the solution of is:

x+6 ≥ 2 and 2x-3 ≤ 9