The number line which shows the solution to the inequality is option C
3x + 2 ≤ -11
or
4x - 3 > 9
3x + 2 ≤ -11
3x ≤ -11 - 2
3x ≤ -13
x ≤ -13/3
x ≤ -4.33
or
4x - 3 > 9
4x > 9 + 3
4x > 12
x > 12 / 4
x > 3
Ultimately, the answer to the inequalities is x ≤ -4.33 and x > 3
Therefore, the number line which shows the solution to the inequality is option C
Learn more about inequality:
https://brainly.com/question/25275758
#SPJ1