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ad-work [718]
3 years ago
5

Solve: 2|x - 3| - 4 ≥ 10

Mathematics
2 answers:
shusha [124]3 years ago
7 0
2(|x−3|)−4≥10
Step 1: Add 4 to both sides.<span><span><span><span>2<span>(<span>|<span>x−3</span>|</span>)</span></span>−4</span>+4</span>≥<span>10+4</span></span><span><span>2<span>(<span>|<span>x−3</span>|</span>)</span></span>≥14</span>Step 2: Divide both sides by 2.<span><span><span>2<span>(<span>|<span>x−3</span>|</span>)</span></span>2</span>≥<span>142</span></span><span><span>|<span>x−3</span>|</span>≥7</span>Step 3: Solve Absolute Value.<span><span>|<span>x−3</span>|</span>≥7</span>We know either<span><span>x−3</span>≥7</span>or<span><span>x−3</span>≤<span>−7</span></span><span><span>x−3</span>≥7</span>(Possibility 1)<span><span><span>x−3</span>+3</span>≥<span>7+3</span></span>(Add 3 to both sides)<span>x≥10</span><span><span>x−3</span>≤<span>−7</span></span>(Possibility 2)<span><span><span>x−3</span>+3</span>≤<span><span>−7</span>+3</span></span>(Add 3 to both sides)<span>x≤<span>−<span>4
the answer is 
</span></span></span><span>x≥<span><span>10<span>or </span></span>x</span></span>≤−4

<span><span>
</span>
</span>
PtichkaEL [24]3 years ago
3 0
Hi TeddyBR

Add 4 to both sides

add 10 + 4 to 14

divide both sides by 2

divide 14/2 to 7

break down the problems into these two equations

x - 3 ≥ 7

-(x - 3) ≥ 7

Lets first solve the first equation which is x - 3 ≥ 7 and that would be x ≥ 10 and lets solve the other one which is -(x - 3) ≥ 7 and that would be x <span>≤</span> -4

Gather both solutions

Answers: x ≥ 10 and x ≤ -4.
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