Please help i will mark braniliest and 30 points If you solve the inequalty 2x < 14, the solution set is x < 7. Graph x < 7 on a number line. Which one of the listed values of x is included in x < 7

A) x=8
B) x = 7
C) x = 12
D) x= -8

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

Explanation:

Plug in w = -2 and simplify.

3w ≤ -12

3(-2) ≤ -12

-6 ≤ -12

The last inequality is false because -6 is neither equal to -12, nor is -6 smaller than -12. Use a vertical number line to see that -6 is above -12, so it should be -12 ≤ -6.

Since -6 ≤ -12 is false, that makes 3w ≤ -12 false when w = -2.

Therefore, w = -2 is not a solution to the given inequality.