Question

Solve the inequality for x 6-(1)/(3)(x+4)<11

Answer 1

The inequality 6 - (1/3)(x+4) < 11 is solved by isolating x to obtain the solution x > -19.

Step-by-step explanation:

The inequality to solve is 6 - \(\frac{1}{3}\)(x+4) < 11. To solve this, we will isolate x on one side of the inequality. Here's a step-by-step approach:

1. Start by subtracting 6 from both sides: -\(\frac{1}{3}\)(x+4) < 5.
2. Multiply through by -3 (remember to reverse the inequality sign when multiplying by a negative number): (x+4) > -15.
3. Finally, subtract 4 from both sides to solve for x: x > -19.

The solution to the inequality is x > -19.