One-Step Inequalities

Solving One-Step Inequalities & Graphing Inequalities

Graphing Inequalities

• < and > have open circles

• ≤ and ≥ have closed circles

Multiple Choice

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

• <, >

• ≤, ≥ 

• ≤, <

• ≥, >

Multiple Choice

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

• ≤, ≥ 

• <, >

• ≤, <

• ≥, >

Multiple Choice

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

• Open

• Closed

Multiple Choice

What inequality does the number line graph represent?

• x≥ 3

• x > 3

• x < -3

• x ≤ 3

Multiple Choice

Pick the correct inequality.

• A

• B

• C

• D

Multiple Choice

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

Multiple Choice

Match the graph with its inequality.

• b > –2

• b < –2

• b ≥ –2

• b ≤ –2

Solving One-Step Inequalities

• Isolate the variable

• Use inverse operations to help you isolate the variable

x - 5 ≤ 3

• Since the operation in the inequality is subtraction, we will use addition to solve.

• Add 5 to both sides on the inequality sign.

• 5 +3=8

• x≤8

• If we were to graph this, the circle would be closed!

x + 4 ≥9

• Since the operation in the inequality is addition, we will use subtraction to solve.

• Subtract 4 from both sides on the inequality sign.

• 9-4=5

• x≥5

• If we were to graph this, the circle would be closed!

6x ≤ 18

• Since the operation in the inequality is multiplication, we will use division to solve.

• Divide both sides of the inequality sign by 6

• 18 divided by 6 equals 3

• x≤3

• If we were to graph this, the circle would be closed!

• Since the operation in the inequality is division, we will use multiplication to solve.

• Multiply both sides of the inequality sign by 5.

• 4 times 5=20

• x>20

• If we were to graph this, the circle would be open!

Multiple Choice

• d≥59

• d≤69

• d≥49

• d<58

Multiple Choice

• x<4

• x≤1

• x≤4

• x≥1

Multiple Choice

• m>7

• m≤5

• 5>m

• 5<m

Multiple Choice

• y<139

• y≥55

• y>55

• y≤139

Multiple Choice

• z≤1

• z>9

• z≤9

• z<9

Multiple Choice

• q≤46

• q<46

• q≥46

• q<46