Solve 8x+4≥52 .(1 point)

3 answers

To solve the inequality, we need to isolate the variable x.

First, subtract 4 from both sides of the inequality:

8x + 4 - 4 ≥ 52 - 4

This simplifies to:

8x ≥ 48

Next, divide both sides of the inequality by 8:

(8x)/8 ≥ 48/8

This further simplifies to:

x ≥ 6

Therefore, the solution to the inequality 8x + 4 ≥ 52 is x ≥ 6.
Solve 1/4x−3/4>5 1/4
To solve the inequality, we need to isolate the variable x.

First, let's simplify the right side of the inequality:

5 1/4 can be converted into an improper fraction by finding a common denominator with 4:

5(4/4) + 1/4 = 21/4

So, the inequality becomes:

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

To eliminate the denominator, we can multiply both sides of the inequality by 4:

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

This simplifies to:

x - 3 > 21

Next, add 3 to both sides of the inequality:

x - 3 + 3 > 21 + 3

This simplifies to:

x > 24

Therefore, the solution to the inequality 1/4x - 3/4 > 5 1/4 is x > 24.
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