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Y_Kistochka [10]

4 years ago

13

2. Solve the inequality, -5/2(3x + 4) < 6 - 3x . Show your work.

2 answers:

koban [17]4 years ago

8 0

I hope this helps you

-5.3x-5.4 <2.6-2.3x

-15x-20 <12-6x

-15x+6x <12+30

-9x <32 divide two sides -9 and change sign

x>-3,55555

saul85 [17]4 years ago

3 0

<span><span><span>(<span>−<span>52</span></span>)</span><span>(<span><span>3x</span>+4</span>)</span></span><<span>6−<span>3x</span></span></span>Step 1: Simplify both sides of the inequality.<span><span><span><span><span>−15</span>2</span>x</span>−10</span><<span><span>−<span>3x</span></span>+6</span></span>Step 2: Add 3x to both sides.<span><span><span><span><span><span>−15</span>2</span>x</span>−10</span>+<span>3x</span></span><<span><span><span>−<span>3x</span></span>+6</span>+<span>3x</span></span></span><span><span><span><span><span>−9</span>2</span>x</span>−10</span><6</span>Step 3: Add 10 to both sides.<span><span><span><span><span><span>−9</span>2</span>x</span>−10</span>+10</span><<span>6+10</span></span><span><span><span><span>−9</span>2</span>x</span><16</span>Step 4: Multiply both sides by 2/(-9).<span><span><span>(<span>2<span>−9</span></span>)</span>*<span>(<span><span><span>−9</span>2</span>x</span>)</span></span><<span><span>(<span>2<span>−9</span></span>)</span>*<span>(16)</span></span></span><span>x><span><span>−32</span>9</span></span>Answer:<span>x><span><span><span>−32</span>9</span>
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