Question

identify the graph of the compound inequality (-2<2x-6)(upside-down U) (3x-12 less than or equal to 10

Answer 1

The graph which correctly represents the compound inequality is A.

Using the compound inequality given :

• (-2<2x-6) U (3x-12<=10)

We can solve the inequalities separately:

(-2<2x-6)

-2x < -6 + 2

-2x < -4

x > 2

Also:

(3x-12<=10)

3x <= 10 + 12

3x <= 22

x <= 7.33

2 < x <= 7.33

Hence, the correct graph is A.