Which compound inequality could this graph be the solution of?

Option: A is the correct answer.

A.   x+6 ≥ 2   and    2x-3 ≤ 9

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

(23*2)-12=x     x=34

step-by-step explanation:

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step-by-step explanation: