3b -7 > 7b - 4

Question

This is 5th grade math my daughter asked me to help with.  I gota say, I have no clue what to do!

Answer 1

3b-7>7b-4 is solved like an equation:

Subtract 3b from each side of the inequality:

-7>4b-4.

Add 4 to each side:

-3>4b.

Divide both sides by 4:

-¾>b. This is the same as b<-¾ and is the solution. This is a range for b, rather than a unique solution (as would be the case if this were an equation instead of an inequality). It means that any value less than -¾ (that is, more negative than -¾) satisfies the inequality. For example, b=-1 satisfies the original inequality (-10>-11 is true).