Question

The quotient of a number, x, decreased by 4 and 7 is less than or equal to 2 or greater than or equal to 8. What are the possible solutions of x?

Answer 1

So this is our inequality: $2\geq\frac{x-4}{7}\ \textsf{OR}\ \frac{x-4}{7}\geq 8$

Firstly, multiply both sides by 7 on both inequalities: $14\geq x-4\ \textsf{OR}\ x-4\geq 56$

Next, add 4 on both sides of both inequalities and your answer will be $18\geq x\ \textsf{OR}\ x\geq 60$