Question

Which set of numbers contains only solutions to the inequality 2-3x>17?

A. x= -5, -3, 0, 1
B. x= -12, -9, -8, -5
C.x= -9, -8, -7, -6
D. x= -2, -1, 0, 1

Answer 1

To find the solution set for the inequality 2 - 3x > 17, we can start by solving for x:

2 - 3x > 17

3x < 15

x < 5

So, the solution set for the inequality is all values of x that are less than 5.

Of the options given, only the set C, x = -9, -8, -7, -6, contains only numbers that are less than 5. Therefore, the set of numbers that contains only solutions to the inequality is C, x = -9, -8, -7, -6.