I've done these problems for the past 4hrs and i can't get them right please its my only questions left.1-12

1.x + 3 > 5

2.7 > x + 5

3.x - 8 ≤ -6
4.-4 < -6 + x

5.9x > 18

6.-3x > 6
7.x/4>0.5
8.x/-14>1/7
9.-10 ≥ 5x

10.-16 ≥ -8x

11.-4x < 8

12.15 ≥ -7.5x

Ill proove this isent homework because i've actually done the work.

A lot of these have negative numbers. Did you make sure to switch the inequality signs appropriately?

Yes I've have ive even checked if the answer is correct. I've switched the signs around.

Alright...so let's look at number 5.

9x > 18
9x/9 > 18/9
x > 2

Similar thing with number 1.

Ive already got #5 correct i just need 6-12.

To find the solution to each inequality, we need to isolate the variable "x". Let's go through each problem one by one:

1. x + 3 > 5
To solve this inequality, we can start by subtracting 3 from both sides:

x + 3 - 3 > 5 - 3
x > 2

So, the solution is x > 2.

2. 7 > x + 5
We can solve this inequality by subtracting 5 from both sides:

7 - 5 > x + 5 - 5
2 > x

The solution is x < 2.

3. x - 8 ≤ -6
To solve this inequality, we can add 8 to both sides:

x - 8 + 8 ≤ -6 + 8
x ≤ 2

The solution is x ≤ 2.

4. -4 < -6 + x
We can solve this inequality by adding 6 to both sides:

-4 + 6 < -6 + x + 6
2 < x

The solution is x > 2.

5. 9x > 18
To solve this inequality, we can divide both sides by 9:

(9x) / 9 > 18 / 9
x > 2

The solution is x > 2.

6. -3x > 6
We can solve this inequality by dividing both sides by -3. Note that when dividing an inequality by a negative number, the inequality sign must be flipped:

-3x / -3 < 6 / -3
x < -2

The solution is x < -2.

7. x/4 > 0.5
To solve this inequality, we can multiply both sides by 4:

(x/4) * 4 > 0.5 * 4
x > 2

The solution is x > 2.

8. x/-14 > 1/7
To solve this inequality, we can multiply both sides by -14. Remember that when multiplying an inequality by a negative number, the inequality sign must be flipped:

(x/-14) * -14 < (1/7) * -14
x < -2

The solution is x < -2.

9. -10 ≥ 5x
We can solve this inequality by dividing both sides by 5. Note that when dividing an inequality by a negative number, the inequality sign must be flipped:

(-10) / 5 ≤ (5x) / 5
-2 ≤ x

The solution is x ≥ -2.

10. -16 ≥ -8x
We can solve this inequality by dividing both sides by -8. Remember that when dividing an inequality by a negative number, the inequality sign must be flipped:

(-16) / -8 ≤ (-8x) / -8
2 ≤ x

The solution is x ≥ 2.

11. -4x < 8
To solve this inequality, we can divide both sides by -4. Remember that when dividing an inequality by a negative number, the inequality sign must be flipped:

(-4x) / -4 > 8 / -4
x > -2

The solution is x > -2.

12. 15 ≥ -7.5x
We can solve this inequality by dividing both sides by -7.5. Remember that when dividing an inequality by a negative number, the inequality sign must be flipped:

15 / -7.5 ≤ (-7.5x) / -7.5
-2 ≤ x

The solution is x ≥ -2.

Remember to always double-check your work and ensure that you follow the correct order of operations when solving these inequalities.