Question 246321
Initial problem: 7-4x<8
<p>
The goal here is to isolate the x variable.
<p>
First step: subtract the 7 from both sides:
<p>
-4x < (8-7)
-4x < 1
<p>
Second step: divide both sides by -4.  Remember, when you divide by a negative number, the direction of the inequality changes.
<p>
<b>x > -1/4</b>
<p>
Note: you can always check your answer by selecting a number that fits your final inequality and plugging it into the original problem.
<p>
In this case, let's choose x = 0, because that fits the answer x > -1/4.
<p>
Then, you have:
<p>
7 - 4(0) < 8
7 < 8
<p>
Which is a true statement.  So, the answer indeed is <b>x > -1/4</b>.