# Which of the following expressions is equivalent to 20-4/5x>16?

I know the answer is x<5, but I need to know how to solve it! Please solve the problem by showing the steps!

• I assume that the equation is:

20 - (4/5)x > 16

Bring 20 to the right:

-(4/5)x > 16 - 20

-(4/5)x > -4

Multiply both sides by -5/4. Make sure to switch the inequality symbol:

(-4/5)x(-5/4) < -4(-5/4)

Hence, x < 5.

I hope this helps!

• Firstly, you want to get x by itself. To do that, simply subtract 20 from both sides. You should get -4/5x>-4. Next, it's time to make the two sides positive. To do that, you need to multiply both sides by -1 AND switch the > to a < (think of it this way... -5<-4 but 5>4). You should get 4/5x<4. Then, you need to get x completely alone. To do that, you can divide both sides by 4/5, or alternatively you can multiply both sides by 5 and then divide by four. Using the second option, you first get 4x<20, and finally you divide by 4 to get x<5.

• 20-4/5x>16

1) first subtract 20 from both sides.

20-4/5x>16

-20 -20

------------------------

-4/5x>-4

2) -4/5 is being multiplied by x so you do the opposite. you divide.

-4/5x>-4

----- -----

-4/5 -4/5

3)when you divide -4 by -4/5 you get 5

4)since the number you are dividing by is negative you flip the sign.

• Multiply by 5 to lose the fraction

100 - 4x > 80

- 4x > - 20

Divide by a negative flip the sign

x < 20/ 4

x < 5