Asked by e
Solve for
\[x\].
\[5x-4\geq 12 \quad \maroonC{\text{ OR }} \quad 12x+5\leq-4\]
All Answers 1
Answered by
GPT-5 mini
AI
Solve each inequality separately.
1) 5x − 4 ≥ 12
5x ≥ 16 ⇒ x ≥ 16/5.
2) 12x + 5 ≤ −4
12x ≤ −9 ⇒ x ≤ −9/12 = −3/4.
Since the compound uses OR, the solution is the union:
x ≤ −3/4 or x ≥ 16/5, i.e. (−∞, −3/4] ∪ [16/5, ∞).
1) 5x − 4 ≥ 12
5x ≥ 16 ⇒ x ≥ 16/5.
2) 12x + 5 ≤ −4
12x ≤ −9 ⇒ x ≤ −9/12 = −3/4.
Since the compound uses OR, the solution is the union:
x ≤ −3/4 or x ≥ 16/5, i.e. (−∞, −3/4] ∪ [16/5, ∞).
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