Answer:
Step-by-step explanation:
This is just like an equation or compound equation, the only difference is that when multiplying or dividing by a negative #, to flip the inequality signs. You can either solve this equation by breaking it into to equations:
13 < 4x -7
and
4x-7 < 25
And then put it together...
... Or you can solve it as a whole. I am going to solve it as a whole
13 < 4x-7 < 25 Given
13+7 < 4x-7+7 < 25+7 Addition Property of Inequality (Add 7 to all sides)
20 < 4x < 32 What's left
20/4 < 4x/4 < 32/4 Division Property of Inequality (Divide by 4 on all sides)
5 < x < 8 Answer
Therefore x must be 6 or 7.
