Plz help me in the Lesson 6 solve inequalities by adding or subtracting

Question

27.0210002 Math B: sovle inequalites by adding or subtracting plz

Answer 1

To solve inequalities by adding or subtracting, you need to isolate the variable on one side of the inequality sign.

Let's take an example to understand this better:

Example: Solve the inequality 2x - 7 > 11.

Step 1: Add 7 to both sides of the inequality to isolate the variable:
2x - 7 + 7 > 11 + 7
2x > 18

Step 2: Divide both sides of the inequality by 2 to solve for x:
(2x)/2 > 18/2
x > 9

Therefore, the solution to the inequality 2x - 7 > 11 is x > 9.

You can apply this method to any inequality by adding or subtracting to isolate the variable and find the solution.