Solve 8x + 4 ≥ 52

To solve the inequality, we need to isolate the variable x.
First, subtract 4 from both sides of the equation:

8x + 4 - 4 ≥ 52 - 4

This simplifies to:

8x ≥ 48

Next, divide both sides of the equation by 8 to solve for x:

8x/8 ≥ 48/8

This simplifies to:

x ≥ 6

Therefore, the solution to the inequality is x ≥ 6.

Solve 1/4x − 3/4 > 5 1/4.

To solve the inequality, we can do the following:

1/4x - 3/4 > 5 1/4

Let's first convert the mixed number 5 1/4 into an improper fraction.

5 1/4 = 21/4

Now, rewrite the inequality:

1/4x - 3/4 > 21/4

Next, let's get rid of the fractions. Multiply the entire inequality by 4 to eliminate the denominators:

4 * (1/4x - 3/4) > 4 * (21/4)

This simplifies to:

x - 3 > 21

Add 3 to both sides of the inequality:

x - 3 + 3 > 21 + 3

This simplifies to:

x > 24

Therefore, the solution to the inequality is x > 24.