8x > 24

To solve the inequality 8x > 24, we need to isolate the variable x.

We can start by dividing both sides of the inequality by 8:
(8x)/8 > 24/8

This simplifies to:
x > 3

Therefore, x is greater than 3.

X/13 < 4/5

To solve the inequality x/13 < 4/5, we need to isolate the variable x.

We can start by multiplying both sides of the inequality by 13:
(13)(x/13) < (13)(4/5)

This simplifies to:
x < (52/5)

To further simplify the fraction on the right side, we can convert it to a decimal:
x < 10.4

Therefore, x is less than 10.4.

4x> 10

On number line

To graph the inequality 4x > 10 on a number line, we need to isolate the variable x.

We can start by dividing both sides of the inequality by 4:
(4x)/4 > 10/4

This simplifies to:
x > 2.5

To represent this on a number line, we mark a circle at 2.5 and draw an arrow to the right to indicate that x is greater than 2.5.

2.5 ---> (arrow to the right)

This shows that any value of x greater than 2.5 satisfies the inequality 4x > 10.

Would the point be on 6? Going towards right

No, the point would not be on 6. The inequality states that x is greater than 2.5, so we mark a circle at 2.5 on the number line and draw an arrow to the right to indicate that x is greater than 2.5. This means that any value of x greater than 2.5 would satisfy the inequality.

1.75 x < 3.5 on number line

To graph the inequality 1.75x < 3.5 on a number line, we need to isolate the variable x.

We can start by dividing both sides of the inequality by 1.75:
(1.75x)/1.75 < 3.5/1.75

This simplifies to:
x < 2

To represent this on a number line, we mark a circle at 2 and draw an arrow to the left to indicate that x is less than 2.

<- 2 (arrow to the left)

This shows that any value of x less than 2 satisfies the inequality 1.75x < 3.5.

6 x < 10.5

To solve the inequality 6x < 10.5, we need to isolate the variable x.

We can start by dividing both sides of the inequality by 6:
(6x)/6 < 10.5/6

This simplifies to:
x < 1.75

To represent this on a number line, we mark a circle at 1.75 and draw an arrow to the left to indicate that x is less than 1.75.

<- 1.75 (arrow to the left)

This shows that any value of x less than 1.75 satisfies the inequality 6x < 10.5.