Question

How so you solve -5r+2r is greater than 54

Answer 1

r < -18

Explanation:

`-5r+2r > 54\\\\\rightarrow \text{Greater Than - } >\\\\\\\text{Combine the Like Terms}\\\\-5 + 2 = -3\\\\\text{So:}\\\\-5r+2r=-3r\\\\\\-3r>54\\\\\text{Divide by -3: }\\\\(-3r>54)/(-3)\\\\\boxed{r<-18}\\\\`

We switch the inequality sign if we multiply or divide both sides of the inequality by a negative number.

Hope this helps.

Answer 2

r < -18

Explanation:

-5r+2r is greater than 54 can be written symbolically as:

-5r+2r > 54

Combining the r terms, we get:

-3r > 54

Solving this result for r requires reversing the direction of the inequality sign:

r < -54/3, or r < -18