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 8x+4≥52 .(1 point)
3 answers
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.
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.