solve the compound inequality $3x - 7 > - 16$ or $-4x - 1 < 3$. which of the options pictured shows the…
solve the compound inequality $3x - 7 > - 16$ or $-4x - 1 < 3$. which of the options pictured shows the solutions on a number line?
Answer
Explanation:
Step1: Solve (3x - 7>-16)
Add (7) to both sides: (3x>-16 + 7), so (3x>-9). Divide both sides by (3): (x>-3).
Step2: Solve (-4x - 1<3)
Add (1) to both sides: (-4x<3 + 1), so (-4x<4). Divide both sides by (-4) (reverse the inequality sign): (x>-1).
The compound inequality (3x - 7>-16) or (-4x - 1<3) is equivalent to (x>-3) (since (x>-1) is a subset of (x>-3)).
Answer:
A.