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.
8x > 24
Solve
11 answers
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.
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
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.
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.
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.
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.
1 answer