Inequalities using Desmos

Inequalities using Desmos

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​Watch the video on graphing inequalities to answer the following questions.

Multiple Choice

Greater than

• <
• >
• ≤
• ≥

Multiple Choice

Less Than

• <
• >
• ≤
• ≥

Multiple Choice

Less than or equal to

• <
• >
• ≤
• ≥

Multiple Choice

Greater than or equal to

• <
• >
• ≤
• ≥

Multiple Choice

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Multiple Choice

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 

Multiple Choice

When graphing b< 6 would you use an open or closed circle?

• Open
• closed

Multiple Choice

• x is less than or equal to -2
• x < -2
• -2 < x
• x is greater than -2

Multiple Choice

• x > 1
• 1 ≥ x
• x is greater than or equal to 1
• x is less than or equal to 1

Multiple Choice

Which graph represents the inequality  6 > x

• A
• B
• C
• D

Multiple Choice

Pick the correct inequality.

• x < -6
• x ≥ -6
• x > -6
• x ≤ -6

Multiple Select

Select all of the following inequalities that match the graph below:

• $$x\le4$$

• $$4\le x$$

• $$x<4$$

• $$x>4$$

• $$4>x$$

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​Watch the video using Desmos for solving inequalities.

Multiple Choice

6x + 2 + 6x < 14

• x < 1
• x > 1
• x < -1
• x > -1

Multiple Choice

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Multiple Choice

-2(5 + 6n) < 6(8 − 2n)

• no solution
• infinite solution
• x < 0
• x > 0

Multiple Choice

Solve the following inequality:

$$-10<\frac{x}{5}+4$$  

• $$x<-30$$  

• $$x<-70$$  

• $$x>-70$$  

• $$x>-30$$  

Multiple Choice

Solve the following inequality:

$$\frac{-w+6}{2}<5$$  

• $$w>-4$$  

• $$w>-2$$  

• $$w<-4$$  

• $$w<-16$$  

Multiple Choice

Select the graph the correctly identifies the solution to:

$$-10r-37>3$$  

Multiple Choice

Solve:

7(x + 5) < 5x + 13

• x < 11

• x < -11

• x > 11

• x > -11

Multiple Choice

Solve the inequality

• x ≤ 2

• x ≤ -2

• x ≥ 2

• x ≥ -2

Multiple Choice

What inequality does the number line graph represent?

• -x + 4 ≥ -1
• -2x + 3 > -7
• -x + 1 < -4
• 2x + 3 ≥ 13