Question

Solve the inequality

6|-f +3|+7>7

Answer 1

To solve the inequality 6|-f +3|+7>7, you need to isolate the absolute value term and solve for f. The solution is f < 3 or f > 3.

Step-by-step explanation:

To solve the inequality 6|-f +3|+7>7, we need to isolate the absolute value term and solve for f.

1. Subtract 7 from both sides: 6|-f + 3| > 0
2. Divide both sides by 6: |-f + 3| > 0
3. Remove the absolute value by considering two cases:
4. Case 1: -f + 3 > 0. In this case, we have -f > -3, which means f < 3.
5. Case 2: -f + 3 < 0. In this case, we have -f < -3, which means f > 3.

Therefore, the solution to the inequality is f < 3 or f > 3.

Answer 2

How might we solve this?

For a system with two variables, we need at least 2 equations to solve!

At best, I can simplify :)

9l - f > 0 is the simpler version!