Inequalities Flashcards

1
Q

Describe the different ways an inequality my be represented?

(The notation)

A

Inequality.

Set notation.

Interval notation.

Graph.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What is an important rule to remember when working with inequalities?

A

When multiplying or dividing by negative numbers, you must switch the direction of the inequality.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Why must you be careful when multiplying or dividing inequalities by variables?

A

Do not multiply or divide inequalites by variables unless you know the variable is always positive or always negative.

If you do not know the sign, you cannot know which direction the inequality should face.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

What is a way of simplifying and solving:

2x < x - 4 <= 3x + 8

A

Treat this as two seperate inequalities.

2x < x - 4 & x - 4 <= 3x + 8

solve each of these and reqrite as one inequality that satisfies both solutions.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly