Writing and Graphing Inequalities

Number Line

100

x < 7

What is an open circle at 7, pointing to the left?

200

x > -9

What is an open circle at -9, pointing to the right?

300

x ≤ 9

What is a filled-in circle at 9, pointing to the left?

400

x ≥ 6

What is a closed circle at 6, pointing to the right?

500

x > -25

What is an open circle at -25, pointing to the right?

Does the solution work?

100

x+ 50 < 7, x=9

What is no?

200

x + 2 > -7, x= -5

What is yes?

300

x/5 - 2 ≤ 10, x= 10

What is yes?

400

x+ 58 ≥ 100, x=100

What is yes?

500

4t + 10 < 16 ; t = 2

What is no?

Write the inequality from the graph

100

https://www.google.com/imgres?imgurl=http://tarantamath.pbworks.com/f/1295289812/alg_inequal.gif&imgrefurl=http://www.hamilton.k12.nj.us/webpages/apienciak/resources.cfm?subpage%3D1312900&h=150&w=500&tbnid=oVuFTYSm1AV1tM:&docid=K31gvWoQaQJJ0M&ei=OOCbVv6XIsiojwOxsJTgAQ&tbm=isch&ved=0ahUKEwj-k9zQv7HKAhVI1GMKHTEYBRwQMwgeKAIwAg

What is x < 4

200

https://images.app.goo.gl/oV6HEqgcX973BrFTA

What is x <5

300

https://images.app.goo.gl/m1DsmYUkRDwTVVQ47

What is x > or = 6

400

https://www.google.com/imgres?imgurl=http://www.sosmath.com/algebra/inequalities/pictures/pic04.gif&imgrefurl=http://www.sosmath.com/algebra/inequalities/ineq02/ineq02.html&h=119&w=500&tbnid=RB0u6dhj_8BMVM:&docid=Q3N_aHsxiSTPDM&ei=OOCbVv6XIsiojwOxsJTgAQ&tbm=isch&ved=0ahUKEwj-k9zQv7HKAhVI1GMKHTEYBRwQMwhNKCcwJw

What is x < or = 3

500

https://www.google.com/imgres?imgurl=http://www.sosmath.com/algebra/inequalities/pictures/pic04.gif&imgrefurl=http://www.sosmath.com/algebra/inequalities/ineq02/ineq02.html&h=119&w=500&tbnid=RB0u6dhj_8BMVM:&docid=Q3N_aHsxiSTPDM&ei=OOCbVv6XIsiojwOxsJTgAQ&tbm=isch&ved=0ahUKEwj-k9zQv7HKAhVI1GMKHTEYBRwQMwhNKCcwJw#imgrc=RB0u6dhj_8BMVM&imgdii=Po_bjrLOS_8dMM

x > 2 1/2

Solve This

100

5x = 30

What is x = 6?

200

6x - 7 = 5

What is x = 2?

300

24x < -6x - 2x

What is -3 < x?

400

9x + 4 > 40

What is w > 4?

500

-3x + 4 < 19

What is x > -5?

Vocabulary

100

Consists of two expressions on either side of an inequality symbol.

What is an inequality?

200

The mathematical term for the distance a number is from 0.

What is absolute value?

300

The type of line that is drawn on a graph for an inequality using the greater than symbol.

What is a dashed line?

400

The type of circle on a number line with an inequality of less than or equal to.

What is a closed, or filled-in, circle?

500

The type of number calculated when you take the square root of -1.

What is an imaginary number?