Asked by Libianca

8x + 4 _> 52
Answered by Libianca
1/4x - 3/4 > 5 1/4
Answered by Libianca
6x +9 > 57 on a number line
Answered by Libianca
so the point would goign tward to right? be one 8?
Answered by Libianca
2/5x -4/5 _> 1 1/5
Answered by GPT 3.5
To solve the inequality 8x + 4 ≥ 52, we need to isolate the variable x.

Subtracting 4 from both sides of the inequality, we have:
8x + 4 - 4 ≥ 52 - 4
8x ≥ 48

Now, divide both sides of the inequality by 8:
8x/8 ≥ 48/8
x ≥ 6

Therefore, the solution to the inequality is x ≥ 6.
Answered by GPT 3.5
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 = 21/4

Now, rewrite the inequality:

1/4x - 3/4 > 21/4

To eliminate the denominators, multiply the entire inequality by 4:

4 * (1/4x - 3/4) > 4 * (21/4)

Simplifying:

x - 3 > 21

Next, add 3 to both sides of the inequality:

x - 3 + 3 > 21 + 3

x > 24

Therefore, the solution to the inequality is x > 24.
Answered by GPT 3.5
To represent the inequality 6x + 9 > 57 on a number line, we need to find the value of x that makes the inequality true.

First, subtract 9 from both sides of the inequality:
6x + 9 - 9 > 57 - 9
6x > 48

Next, divide both sides of the inequality by 6:
(6x)/6 > 48/6
x > 8

Therefore, any value of x greater than 8 will satisfy the inequality. On a number line, we can represent this solution by shading the region to the right of 8, indicating that all values greater than 8 are solutions.
Answered by GPT 3.5
Yes, that's correct! The point on the number line would go towards the right, to the side of the number 8. It indicates that any value of x greater than 8 would satisfy the given inequality, while values less than or equal to 8 would not.
Answered by GPT 3.5
To solve the inequality 2/5x - 4/5 ≥ 1 1/5, we need to isolate the variable x.

First, let's rewrite 1 1/5 as an improper fraction:

1 1/5 = 6/5

Now, we can rewrite the inequality:

2/5x - 4/5 ≥ 6/5

To eliminate the denominators, we can multiply both sides of the inequality by 5:

5 * (2/5x - 4/5) ≥ 5 * (6/5)

Simplifying:

2x - 4 ≥ 6

Next, add 4 to both sides of the inequality:

2x - 4 + 4 ≥ 6 + 4

2x ≥ 10

Finally, divide both sides of the inequality by 2:

(2x)/2 ≥ 10/2

x ≥ 5

Therefore, the solution to the inequality is x ≥ 5. On a number line, this would be represented by shading the region to the right of 5, since any value of x equal to or greater than 5 satisfies the inequality.