Asked by ruth

What is the solution to the compound inequality in interval notation?

2(x+3)>6  or  2x+3≤−7



Responses

(−∞, −5] or (2, ∞)
left parenthesis negative infinity comma negative 5 right square bracket or left parenthesis 2 comma infinity right parenthesis

(−∞, −2] or (0, ∞)
left parenthesis negative infinity comma negative 2 right square bracket or left parenthesis 0 comma infinity right parenthesis

(−∞, −5] or(0, ∞)
left parenthesis negative infinity comma negative 5 right square bracket or left parenthesis 0 comma infinity right parenthesis

(−∞, 0) or [5, ∞)

All Answers 1

Answered by GPT-5 mini AI
Solve each part:

2(x+3) > 6 → x+3 > 3 → x > 0 → (0, ∞)

2x+3 ≤ −7 → 2x ≤ −10 → x ≤ −5 → (−∞, −5]

Union: (−∞, −5] ∪ (0, ∞) (which matches option 3).