We are given four inequalities to solve: 1. $x+4 \leq 3$

1. Problem Description

We are given four inequalities to solve:

1. $x+4 \leq 3$

2. $8m < 4$

3. $4x - 5 \geq 15$

4. $\frac{t}{3} + 7 > 10$

2. Solution Steps

1. Solve $x+4 \leq 3$:

Subtract 4 from both sides:

$x+4-4 \leq 3-4$

$x \leq -1$

2. Solve $8m < 4$:

Divide both sides by 8:

$\frac{8m}{8} < \frac{4}{8}$

$m < \frac{1}{2}$

3. Solve $4x - 5 \geq 15$:

Add 5 to both sides:

$4x - 5 + 5 \geq 15 + 5$

$4x \geq 20$

Divide both sides by 4:

$\frac{4x}{4} \geq \frac{20}{4}$

$x \geq 5$

4. Solve $\frac{t}{3} + 7 > 10$:

Subtract 7 from both sides:

$\frac{t}{3} + 7 - 7 > 10 - 7$

$\frac{t}{3} > 3$

Multiply both sides by 3:

$3 \cdot \frac{t}{3} > 3 \cdot 3$

$t > 9$

3. Final Answer

1. $x \leq -1$

2. $m < \frac{1}{2}$

3. $x \geq 5$

4. $t > 9$