Solve 8x+4≥52 .(1 point) Responses x≥6 x greater than or equal to 6 x≥11 x greater than or equal to 11 x≥2.5 x greater than or equal to 2.5 x≥7
To solve the inequality 8x + 4 ≥ 52, we need to isolate the variable x.
Subtracting 4 from both sides gives us:
8x ≥ 48
Now, divide both sides by 8:
x ≥ 6
Therefore, the correct response is x ≥ 6.
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Solve 1/4x − 3/4 > 5 1/4
To solve the inequality 1/4x - 3/4 > 5 1/4, we can follow these steps:
First, let's convert 5 1/4 to an improper fraction:
5 1/4 = 21/4
Now, let's simplify the inequality:
1/4x - 3/4 > 21/4
Next, let's add 3/4 to both sides to isolate x:
1/4x > 21/4 + 3/4
1/4x > 24/4
1/4x > 6
To get rid of the 1/4 coefficient, let's multiply both sides by 4:
4 * (1/4x) > 4 * 6
1x > 24
Therefore, the solution is x > 24.
Solve the inequality 6x+9>57,
show me the answer in a number line please
To solve the inequality 6x + 9 > 57, we can follow these steps:
1. Subtract 9 from both sides of the inequality:
6x + 9 - 9 > 57 - 9
6x > 48
2. Divide both sides of the inequality by 6:
(6x)/6 > 48/6
x > 8
So, the solution to the inequality is x > 8.
On a number line, we can represent this solution as an open circle at 8 and shading to the right to indicate all numbers greater than 8. Here is the number line representation:
<-------------(8)---------------------------->
This shows that all values to the right of 8 on the number line satisfy the inequality.