Section: Mathematical Reasoning

29) Solve for x: 
 

-5x - 5 > 15

Explanation

Isolate the variable by adding 5 to both sides.

-5x - 5 + 5 > 15 + 5


You're left with this: -5x > 20

Continue the operation, dividing both sides by -5 and reversing the comparison because we are dealing with a negative number.


x < -4


Now plug -4 into the original inequality.


-5(-4) - 5 > 15
20 - 5 > 15
15 > 15

Since 15 is equal to 15 and not greater than, we know that any number below -4 will cause the original inequality (-5x - 5 > 15) to be true; therefore, x > -4, so Answer 1 is correct.


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