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evablogger [386]
2 years ago
5

Solve the compound inequality. x+3<0 or 5x>−10

Mathematics
2 answers:
MrRa [10]2 years ago
7 0

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:

\frac{5x}{5} > \frac{-10}{5}

x > –2

Therefore:

<em>x </em>< – 3  or <em>x</em> > –2

Interval notation:  [(– ∞, –3) ∪ (–2, ∞)]

IgorC [24]2 years ago
5 0

Answer:

x + 3 < 0 \:  \: or \:  \: 5x >  - 10 \\  \\ x <  - 3 \:  \: or \:  \: x >  - 2 \\  \\ { \boxed{  \:  \:  - 3 < x <  - 2 \:  \: }}

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