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
x≥6
Solve 14x−34>514 .
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.
Solve 1/4x−3/4>5/1/4 .
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.
To solve the inequality 8x + 4 ≥ 52, you need to isolate the variable x.
Step 1: Start by subtracting 4 from both sides of the inequality:
8x + 4 - 4 ≥ 52 - 4
8x ≥ 48
Step 2: Divide both sides of the inequality by 8 to find the value of x:
(8x)/8 ≥ 48/8
x ≥ 6
Therefore, the solution to the inequality 8x + 4 ≥ 52 is x ≥ 6. This means that x is greater than or equal to 6.