solve using additin and multiplication principle
6+8x<22
6+8x<22
8x < 22 - 6
8x < 16
x < 16/8
x < 2
To solve the inequality 6 + 8x < 22 using the addition and multiplication principles, we need to isolate the variable x.
Step 1: Subtract 6 from both sides of the inequality to move the constant term to the right side:
6 + 8x - 6 < 22 - 6
Simplifying, we get:
8x < 16
Step 2: Divide both sides of the inequality by 8 to solve for x.
8x/8 < 16/8
x < 2
So the solution to the inequality 6 + 8x < 22 is x < 2.