One-Step & Two-Step Inequalities

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

• <, >
• ≤, ≥ 

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

• ≤, ≥ 
• <, >

Match the graph with its inequality.

• 11 < a
• 11 > a
•  11 ≤ a
•  11 ≥ a

Solve: -2x ≤ 14

• x ≤ 7
• x ≤ -7
• x ≥ 7
• x ≥ -7

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1
• k≤1
• k≥1
• k ≥ -1

Solve for u. 
u/7 – 1 ≤ 1

• 14≥u
• 14≤u
• u≤14
• u ≤ -14

-3y + 2 > 11

• y < -3
• y > -3
• y < 3
• y > 3

What inequality does the number line graph represent? (Hint: You may have to solve each inequality.)

• x + 2 < 5
• 3x ≥ 9
• 2x - 1 > 5
• x + 3 < 0