SOLUTION: Solve each inequality and express your solution using interval notation. (1) 13-7x<55 (2)5x+19< or egual x-41

Question 314464: Solve each inequality and express your solution using interval notation. (1) 13-7x<55 (2)5x+19< or egual x-41
Answer by texttutoring(324) (Show Source): You can put this solution on YOUR website!
Treat the inequality signs like equal signs, and solve them like any other algebraic equation.

13-7x<55
13-55 < 7x
-42 < 7x
-6 < x

For your interval notation, just draw an open dot (because it's <) on a number line at -6 with an arrow pointing to the right.
5x+19 < x-41
4x < -41 -19
4x < -60
x < -15

So x is less than or equal to -15.
This time, draw a closed dot at -15, and the arrow should point left.
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