Math Study Guide: Topic 12: Inequalities (pages 56-57)

Question 1

What are “inequalities?”

Answer 1

Inequalities are like equations, except that you are solving for a range of values that the variable can be.

If x > 2, this means x is some value to the right of 2 on the number line (and there are many values like that!)

Question 2

What does “>” mean?

Answer 2

greater than

Question 3

What does “≥” mean?

Answer 3

Greater than or equal to

Question 4

What does “

Answer 4

Less than

Question 5

What does “≤” mean?

Answer 5

Less than or equal to

Question 6

With equations, what do you have to do to add, subtract, multiply, or divide by whatever you want?

Answer 6

Do the same thing to both sides of the equation

Question 7

With inequalities, what do you have to do to add, subtract, multiply, or divide by whatever you want?

Answer 7

Do the same to both sides (like an equation) with one important exception:

If you mutliply or divide an inequality by a negative number, you must reverse the inequality sign