Solve the compound inequality. x+3<0 or 5x>−10
2 answers:
Answer:
<em>x</em> < – 3 or <em>x</em> > – 2
Step-by-step explanation:
For <em>x </em>+ 3 < 0 :
subtract 3 from both sides of the inequality:
x + 3 – 3 < 0 – 3
x + 0 < – 3
x < –3
For 5<em>x</em> > – 10:
Divide both sides of the inequality by 5 to isolate x:
x > –2
Therefore:
<em>x </em>< – 3 or <em>x</em> > –2
Interval notation: [(– ∞, –3) ∪ (–2, ∞)]
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