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4 years ago

9

Help me Solve |8a+5|-6<4=

1 answer:

Mazyrski [523]4 years ago

3 0

Let's solve your inequality step-by-step.<span><span><span>|<span>8a+5</span>|</span>−6</span><4</span>Step 1: Add 6 to both sides.<span><span><span><span>|<span>8a+5</span>|</span>−6</span>+6</span><4+6</span><span><span>|<span>8a+5</span>|</span><10</span>Step 2: Solve Absolute Value.<span><span>|<span>8a+5</span>|</span><10</span>We know<span><span>8a+5</span><10</span>and<span><span>8a+5</span>>−10</span><span><span>8a+5</span><10</span>(Condition 1)<span><span><span>8a+5</span>−5</span><10−5</span>(Subtract 5 from both sides)<span>8a<5</span><span><span>8a/8</span><5/8</span>(Divide both sides by 8)<span>a<5/8</span><span><span>8a+5</span>>−10</span>(Condition 2)<span><span><span>8a+5</span>−5</span>><span>−10−5</span></span>(Subtract 5 from both sides)<span>8a>−15</span><span><span>8a/8</span>><span>−15/8</span></span><span>(Divide both sides by 8)
</span><span>a><span><span>−15/</span>8</span></span>Answer:<span><span>a<<span><span><span>5/8</span><span> and </span></span>a</span></span>><span><span>−15/</span><span>8</span></span></span>

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