Answer:
E. All values of x are solutions
Step-by-step explanation:
- -15x + 4 ≤ 109
- -6x + 70 > -2
Solve for x in the first equation. Subtract 4 from both sides.
-15x ≤ 105
Divide both sides by -15. Since this is a negative number the sign will flip.
x ≥ -7
Solve for x in the second equation. Subtract 70 from both sides.
-6x > -72
Divide both sides by -6; the sign flips.
x < 12
Since this is an OR problem we won't be combining the two solutions for x. Therefore you would graph x ≥ -7 and x < 12 separately.
The graph would look like this: (image attached)
Since the two lines cross pathways to cover the entire number line, this means that there are infinite values of x.
The answer should be E.
