Let's solve your inequality step-by-step.<span><span><span> 2<span>(<span>|<span>x+3</span>|</span>)</span></span>−5</span>><span>−1</span></span> Step 1: Add 5 to both sides.<span><span><span><span> 2<span>(<span>|<span>x+3</span>|</span>)</span></span>−5</span>+5</span>><span><span>−1</span>+5</span></span><span><span> 2<span>(<span>|<span>x+3</span>|</span>)</span></span>>4</span> Step 2: Divide both sides by 2.<span><span><span> 2<span>(<span>|<span>x+3</span>|</span>)</span></span>2</span>><span>42</span></span><span><span> |<span>x+3</span>|</span>>2</span> Step 3: Solve Absolute Value.<span><span> |<span>x+3</span>|</span>>2</span> We know either<span><span>x+3</span>>2</span>or<span><span>x+3</span><<span>−2</span></span><span><span> x+3</span>>2</span>(Possibility 1)<span><span><span> x+3</span>−3</span>><span>2−3</span></span>(Subtract 3 from both sides)<span> x><span>−1</span></span><span><span> x+3</span><<span>−2</span></span>(Possibility 2)<span><span><span> x+3</span>−3</span><<span><span>−2</span>−3</span></span>(Subtract 3 from both sides)<span> x<<span>−5</span></span> Answer:<span> x><span><span>−<span><span>1<span> or </span></span>x</span></span><<span>−5
