x+2 1/2

To solve the inequality x + 2 1/2 < 8, we can first subtract 2 1/2 from both sides to isolate the variable x:

x + 2 1/2 - 2 1/2 < 8 - 2 1/2

This simplifies to:

x < 5 1/2

Therefore, the solution to the inequality x + 2 1/2 < 8 is x < 5 1/2.

solve -5x>20

To solve the inequality -5x > 20, we need to divide both sides of the inequality by -5. However, when dividing by a negative number, we need to reverse the inequality symbol.

Dividing both sides by -5, we get:

x < -4

So the solution to the inequality -5x > 20 is x < -4.

6x<54

To solve the inequality 6x < 54, we can divide both sides of the inequality by 6:

6x/6 < 54/6
x < 9

Therefore, the solution to the given inequality is x < 9.

3.4x>23.8

To solve the inequality 3.4x > 23.8, divide both sides of the inequality by 3.4:

(3.4x) / 3.4 > 23.8 / 3.4
x > 7

Therefore, the solution to the given inequality is x > 7.

8x-14<10

To solve the inequality 8x - 14 < 10, we first add 14 to both sides to isolate the variable x:

8x - 14 + 14 < 10 + 14

This simplifies to:

8x < 24

Next, we divide both sides of the inequality by 8:

(8x) / 8 < 24 / 8
x < 3

Therefore, the solution to the given inequality is x < 3.

5.14x+2.25>15.1

To solve the inequality 5.14x + 2.25 > 15.1, we first subtract 2.25 from both sides to isolate the variable x:

5.14x + 2.25 - 2.25 > 15.1 - 2.25

This simplifies to:

5.14x > 12.85

Next, we divide both sides of the inequality by 5.14:

(5.14x) / 5.14 > 12.85 / 5.14
x > 2.5

Therefore, the solution to the given inequality is x > 2.5.

x+2 1/2 <8