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Solve the inequality -4(x + 4) > x + 7. Give your answer as an interval.
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The starting inequality is
-4(x+4) > x + 7.
Open parentheses
-4x - 16 < x + 7.
Add 4x to both sides. You will get
-4x - 16 + 4x < x + 7 + 4x, or
-16 < 5x + 7.
Now subtract 7 from both sides. You will get
-16 - 7 < 5x,
- 23 < 5x.
Divide both sides by 5. You will get
< x, or x > .
It determines the solution set.
In the interval form is (,). ANSWER
Solved.
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The standard solution procedure is collecting the terms with the unknown
in one side of the inequality and collecting constant terms in the other side;
then combining the like terms in each side and expressing the unknown variable in form of inequality.
