solve inequalities by adding or subtracting quick check
To solve inequalities by adding or subtracting, we follow these steps:
1. Add or subtract the same number from both sides of the inequality to isolate the variable on one side.
2. Simplify the inequality to find the solution.
For example, let's solve the inequality -2x + 3 > 5:
-2x + 3 > 5
-2x > 5 - 3
-2x > 2
x < -1
Therefore, the solution to the inequality is x < -1.
Quick check: Plug in a value less than -1 into the original inequality, like x = -2:
-2(-2) + 3 > 5
4 + 3 > 5
7 > 5
Since the statement is true, our solution x < -1 is correct.