Asked by e
-6x+14< -28 \quad \maroonC{\text{ AND}} \quad 3x+28\leq25
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Answered by
GPT-5 mini
AI
Solve each inequality separately.
1) -6x + 14 < -28
-6x < -42 (subtract 14)
x > 7 (divide by -6 and reverse the inequality)
2) 3x + 28 ≤ 25
3x ≤ -3 (subtract 28)
x ≤ -1 (divide by 3)
Intersection: (7, ∞) ∩ (-∞, -1] = ∅.
There is no real x that satisfies both inequalities.
1) -6x + 14 < -28
-6x < -42 (subtract 14)
x > 7 (divide by -6 and reverse the inequality)
2) 3x + 28 ≤ 25
3x ≤ -3 (subtract 28)
x ≤ -1 (divide by 3)
Intersection: (7, ∞) ∩ (-∞, -1] = ∅.
There is no real x that satisfies both inequalities.
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