» » » Solve the inequalities for which $$\frac{x+4}{3}-\frac{x-3}{2} < 4$$.

# Solve the inequalities for which $$\frac{x+4}{3}-\frac{x-3}{2} < 4$$.

### Question

Solve the inequalities for which $$\frac{x+4}{3}-\frac{x-3}{2} < 4$$.

A)
x < 7
B)
x > -7
C)
x < -7
D)
x > 7

### Explanation:

$$\frac{x+4}{3}-\frac{x-3}{2} < 4\\ \frac{(2(x+4))-(3(x-3))}{6}<4$$
2(x+4) – 3(x-3) < 4 x 6

2x + 8 – 3x+9 < 24

-x + 17 < 24

-x < 24 – 17

-x < 7

X > -7

## Dicussion (1)

• $$\frac{x+4}{3}-\frac{x-3}{2} < 4\\ \frac{(2(x+4))-(3(x-3))}{6}<4$$
2(x+4) – 3(x-3) < 4 x 6

2x + 8 – 3x+9 < 24

-x + 17 < 24

-x < 24 – 17

-x < 7

X > -7