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Finger [1]
3 years ago
11

15 – 5x ≤ 0 and 5x + 6 ≥–14

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0
PART 1:
Let's solve your inequality step-by-step.<span><span>15−<span>5x</span></span>≤0

</span>Step 1: Simplify both sides of the inequality.<span><span><span>−<span>5x</span></span>+15</span>≤0

</span>Step 2: Subtract 15 from both sides.<span><span><span><span>−<span>5x</span></span>+15</span>−15</span>≤<span>0−15</span></span><span><span>−<span>5x</span></span>≤<span>−15

</span></span>Step 3: Divide both sides by -5.<span><span><span>−<span>5x</span></span><span>−5</span></span>≤<span><span>−15</span><span>−5</span></span></span><span>x≥3

</span>Answer:<span>x≥<span>3

PART 2:
</span></span>Let's solve your inequality step-by-step.<span><span><span>5x</span>+6</span>≥<span>−14

</span></span>Step 1: Subtract 6 from both sides.<span><span><span><span>5x</span>+6</span>−6</span>≥<span><span>−14</span>−6</span></span><span><span>5x</span>≥<span>−20

</span></span>Step 2: Divide both sides by 5.<span><span><span>5x</span>5</span>≥<span><span>−20</span>5</span></span><span>x≥<span>−4

</span></span>Answer:<span>x≥<span>−<span>4</span></span></span>
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