Question

The sum of a number and 80 is greater than the product of -3 and that number. What are the possible values for the number?

Answer 1

pliz u search in google so that u can understanding easily

Answer 2

Numbers

Let the number be $x$.

Sum of the number and $80$ is greater than the product of $-3$ and that number .

According to question,

$x+80>(-3)\times x\\\\\implies x+80>-3x$

Let's solve your inequality step-by-step.

$x+80>(-3x)$

Step 1:

Add 3x to both sides.

$x+80+3x>-3x+3x$

$\implies 4x+80>0$

Step 2:

Subtract 80 from both sides.

$4x+80-80>0-80\\\\\implies 4x>-80$

Step 3:

Divide both sides by 4.

$\frac{4x}{4}>\frac{-80}{4} \\\\\implies x>(-20)$

Hence, the possible values of the number $x$ will be any number greater than (-20), this inequality will satisfy all numbers greater than $-20$.

Note: The number showing on number line is attached.