Question 1209100
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Solve the inequality -4(x + 4) > x + 7.  Give your answer as an interval.
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<pre>
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

    {{{-23/5}}} < x,  or  x > {{{-23/5}}}.


It determines the solution set.


In the interval form is  ({{{-23/5}}},{{{infinity}}}).    <U>ANSWER</U>
</pre>

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.