Question

Ten less than five times a number is less than six times the number decreased by eight

Answer 1

10 - 5x < 6x - 8

We can treat this inequality like a normal algebraic equation.

Add 5x to both sides

10 < 11x - 8

Add 8 to both sides

18 < 11x

Divide both sides by 11

1.64 < x

X is greater than the value 1.64.

Let's plug the number 2 into each value of x to verify.

10 - 5x < 6x - 8

10 - 5*2) < (6 * 2) - 8

10 - 10 < 12 - 8

0 < 4

It's correct.

Now let's plug 1, which is less than 1.64.

10 - 5x < 6x - 8

10 - 5 < 6 - 8

5 < -2

This is not correct, which means that our answer was correct.