Solve 8x+4≥52 .(1 point)

3 answers

To solve the inequality 8x + 4 ≥ 52, we need to isolate the variable x.

8x + 4 ≥ 52

Subtract 4 from both sides:

8x ≥ 52 - 4

8x ≥ 48

Divide both sides by 8:

x ≥ 48/8

x ≥ 6

So the solution is x ≥ 6.
Solve 1/4x−3/4>5 1/4 .(1 point)
To solve the inequality 1/4x - 3/4 > 5 1/4, we need to isolate the variable x.

First, let's convert the mixed number 5 1/4 to an improper fraction:

5 1/4 = 5 + 1/4 = 20/4 + 1/4 = 21/4

Now we can rewrite the inequality:

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

To get rid of the fractions, we can multiply both sides of the inequality by the least common denominator (4 in this case). This will eliminate the denominators:

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

Simplifying:

1x - 3 > 21

Combine like terms:

x - 3 > 21

Add 3 to both sides:

x > 24

So the solution to the inequality is x > 24.
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