Question

Sue wrote the inequality shown, where b>0.

X/b - c > -d

Which inequality is equivalent to Sue’s inequality?

Answer 1

x > bc - db

Explanation:

`(x)/(b)-c>-d` is a literal equation, which means all the terms are variables. Solving for the variable 'x':

`(x)/(b)-c>d`

Add 'c' to both sides:

`(x)/(b)-c+c>-d+c`

simplify and multiply both sides by 'b':
`b((x)/(b))>(c-d)b`

simplify and distribute: x > bc - db