Solve: 2|x+2|+3&gt;10 The answer has the form: (A,B) (−∞,A)∪(B,∞) State your solution using interval notation, using whole numbers, proper fractions or improper fractions, like above: ?

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Solve: 2|x+2|+3&amp;gt;10  The answer has the form:  (A,B)  (−∞,A)∪(B,∞)  State your solution using interval notation, using whole numbers, proper fractions or improper fractions, like above: ?

Sharolyn Larson · Accepted Answer

Step 1   Solve the given inequality   Step 2   Given  2|x+2|+3&amp;gt;10  Step 3   Solving the inequality, we get  2|x+2|+3&amp;gt;10  2|x+2|+3−3&amp;gt;10−3  2|x+2|&amp;gt;7  |x+2|&amp;gt;72  Step 4   Using the properties of absolute we get from equation (i)  (x+2)&amp;gt;72  x+2−2&amp;gt;72−2  x&amp;gt;72−42  x&amp;gt;32  Step 5   From equation (i) we get  −x(x+2)&amp;gt;72  (x+2)&amp;lt;−72  x+2−2&amp;lt;−72−2  x&amp;lt;−72−42  x&amp;lt;−112  Step 6   Combining the result, we get:  (−∞,−112)∪(32,∞)

Solve: 2|x+2|+3>10 The answer has the form: (A,B) PS

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