Math- Inequalities(Inequalities and systems of inequalities)

Question 1

What do you do when you multiply or divide by a negative number?

Answer 1

You flip the inequality sign. Otherwise solve like a normal equation.

Question 2

What does the graph of an inequality look like?

Answer 2

The shaded region is all the options for solutions. When there is more than one equation, the overlapped shaded region represents all the solutions to the system.

Question 3

When is the graphed line solid versus dashed?

Answer 3

It is solid if the sign is less than/greater than or equal. It is dashed if it is only less than/greater than.

Question 4

How do you solve an inequality where there is inequality signs on both sides?
Ex. -7 < -2x + 3 < 15

Answer 4

Split it up into two inequalities that you can solve separately
Ex. This equation would be split up into…
-7 < -2x +3 and -2x +3 < 15