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 8x+4≥52 .(1 point)
3 answers
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.
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.