Question

X-13 over -6<3
How do I solve this pls help explain!!!

Answer 1

To solve x-13 over -6<3, multiply both sides by -6, which flips the inequality, giving x-13>-18; then, add 13 to both sides to find x>-5. Any number greater than -5 satisfies the inequality.

Step-by-step explanation:

To solve the inequality x-13 over -6<3, you need to follow the rules of inequality manipulation, which are similar to those used for solving equations but with special consideration for the direction of the inequality when multiplying or dividing by a negative number.

1. Multiply both sides by -6 to eliminate the denominator. Remember, when you multiply by a negative number, the direction of the inequality changes: x - 13 > -18.
2. Add 13 to both sides to isolate x on one side of the inequality: x > -5.

Thus, any number greater than -5 satisfies the inequality.