Question

Solve 8x+4≥52 .(1 point)
Responses

x≥6
x greater than or equal to 6

x≥7
x greater than or equal to 7

x≥11
x greater than or equal to 11

x≥2.5

Answer 1

Solve 14x−34>514 .

Answer 2

Solve 1/4x−3/4>5/1/4 .

Answer 3

x≥6

Answer 4

To solve the inequality 14x - 34 > 514, we can first add 34 to both sides to get rid of the constant term:

14x - 34 + 34 > 514 + 34

This simplifies to:

14x > 548

Next, we divide both sides by 14 to isolate x:

(14x)/14 > 548/14

x > 39

So the solution to the inequality is x > 39.

Answer 5

To solve the inequality 1/4x - 3/4 > 5/1/4, we need to first simplify the fractions.

The right side of the inequality can be written as 5/(1/4) = 5 * 4/1 = 20.

So the inequality becomes:

1/4x - 3/4 > 20

Next, we can add 3/4 to both sides to isolate the variable:

1/4x - 3/4 + 3/4 > 20 + 3/4

This simplifies to:

1/4x > 20 + (3/4)

Combining the right side gives:

1/4x > 20 + 3/4

To add the fractions, we need a common denominator. The common denominator of 4 and 1 is 4, so we can rewrite the inequality as:

1/4x > (80/4) + (3/4)

This simplifies to:

1/4x > 83/4

Finally, we can multiply both sides by 4 to get rid of the fraction:

4 * (1/4x) > 4 * (83/4)

This gives:

x > 83

So the solution to the inequality is x > 83.