4. T12 Inequalities Practice

Introduction to Inequalities

Multiple Select

The following symbols are used to denote inequality except _______________________.

• $$>$$

• $$=$$

• $$<$$

• $$\ge$$

• $$\ge$$

Multiple Choice

What do these symbols mean? (from left to right)

• less than

• less than or equal to

• greater than

• greater than or equal to

Multiple Choice

What do these symbols mean? (from left to right)

• less than

• less than or equal to

• greater than

• greater than or equal to

Multiple Choice

What do these symbols mean? (from left to right)

• less than

• less than or equal to

• greater than

• greater than or equal to

Multiple Choice

What do these symbols mean? (from left to right)

• less than

• less than or equal to

• greater than

• greater than or equal to

Multiple Select

Which of the following is an example of quadratic inequality? Select all that apply.

• $$2x^2+3x+4>0$$

• $$15x\le10$$

• $$x^2-x+15<-30$$

• $$x^2-x+15<-30$$

Multiple Choice

Which of the following does not belong to the group?

• $$x^2-x+15<-30$$

• $$2x^2>4$$

• $$x^2+6x<3$$

• $$x^3+4x+8<0$$

Graphing Inequalities

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Multiple Choice

Solid or dashed line?  
$$y<$$

• Solid
• Dashed

Multiple Choice

Solid or dashed line?  
$$y\ge$$

• Solid
• Dashed

Multiple Select

A solid line would be used with which inequality symbol(s)?

• $$>$$
  

• $$\ge$$

• $$<$$

• $$\le$$

Multiple Choice

Shade above or below?
y ≥

• Above
• Below

Multiple Choice

Shade above or below?
y <

• Above
• Below

Multiple Choice

Solutions of a quadratic inequality are in the ___________ area.

• non-shaded

• shaded

• vertex

• axis of symmetry

Multiple Choice

The points in the shaded region....

• ARE SOLUTIONS to the inequality

• are NOT SOLUTIONS to the inequality

Multiple Choice

The points on a SOLID boundary line ....

• ARE SOLUTIONS to the inequality

• are NOT SOLUTIONS to the inequality

Multiple Choice

The points on a DASHED boundary line ....

• ARE SOLUTIONS to the inequality

• are NOT SOLUTIONS to the inequality

Multiple Choice

Which correctly shows the inequality $$y<\left(x+4\right)^2+1$$  ?

Multiple Choice

Which correctly shows the inequality $$y\ge-\left(x+2\right)^2-4$$  ?

Multiple Choice

is greater than or equal to

• <
• ≤
• >
• ≥

Multiple Choice

Which correctly shows the inequality $$y>x^2+4x+6$$  ?

Multiple Choice

Which inequality is represented by the graph?

• $$y\ge-(x+4)^2+1$$

• $$y<-(x-4)^2+1$$

• $$y\le(x-4)^2+1$$

• $$y\le-(x-4)^2+1$$

Multiple Choice

Which inequality is represented by the graph?

• $$y>(x-3)^2-3$$

• $$y\ge(x+3)^2-3$$

• $$y>(x+3)^2-3$$

• $$y\ge(x-3)^2-3$$

Multiple Choice

Is the point (2, 1) a solution to the inequality shown?

• Yes

• No

Inequality Vocabulary

​Here are some other key words you may see for inequalities in practical situations. There are other words for each symbol as well.

Multiple Choice

no greater than

• <
• ≤
• >
• ≥

Multiple Choice

no less than

• <
• ≤
• >
• ≥

Multiple Choice

more than

• <
• ≤
• >
• ≥

Multiple Choice

fewer than

• <
• ≤
• >
• ≥

Multiple Choice

at least

• <
• ≤
• >
• ≥

Multiple Choice

below

• <
• ≤
• >
• ≥

Multiple Choice

above

• <
• ≤
• >
• ≥

Multiple Choice

at most

• <
• ≤
• >
• ≥

Multiple Choice

over

• <
• ≤
• >
• ≥

Multiple Choice

minimum

• <
• ≤
• >
• ≥

Multiple Choice

maximum

• <
• ≤
• >
• ≥

Multiple Choice

exceed

• <
• ≤
• >
• ≥

Multiple Choice

no fewer than

• <
• ≤
• >
• ≥

Multiple Choice

under

• <
• ≤
• >
• ≥

Multiple Choice

does not exceed

• <
• ≤
• >
• ≥

Multiple Select

Inequality

Write an inequality for the sentences below.

The sum of a number, n, and fifteen is greater than or equal

to nine.

• 15n < 9

• n - 15 > 9

• n + 15 ≥ 9

Multiple Choice

The maximum amount of people that can be in the elevator is 15. Which inequality statement matches this scenario, with x representing people on the elevator?

• x > 15

• x < 15

• X $$\le$$  15

• x $$\ge$$  15

Multiple Choice

Sarah wants to make at least $300 this summer babysitting. Which inequality statement matches this scenario, with x representing money?

• x < 300

• x > 300

• x $$\le$$  300

• x $$\ge$$  300