Question

Solve the inequality. -5-x/3<4

Answer 1

Hey there! :)

(-5 - x)/(3) < 4

Start out by multiplying both sides by 3. This is to get rid of any fractions we have!

3 • (-5 - x)/(3) < 4 • 3

Simplify!

-5 -x < 12

Add 5 to both sides so that we can isolate our variable.

-5 - x + 5 < 12 + 5

Simplify!

-x < 17

Divide both sides by -1.

Keep in mind that when dividing by a negative number, you must change the sign of the “crocodile mouth.” So, < turns into >.

-1 / -x > 17 / -1

Simplify.

x > -17

Hope this helped! :)

Answer 2

Answer:

x > -17

Step-by-step explanation:

(-5 - x) / 3 < 4

Multiply both sides by 3.

-5 - x < 12

Add 5 to both sides.

-x < 17

Divide both sides by -1

x > -17