Solving and Graphing Linear Inequalities on a Number Line

Which inequality represents the solution set shown on the graph above?

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕

Solve for k. 4k - 11 ≤ -23

• k ≤ -3

• k ≤ 3

• k < 8

• k < -8

When graphing an inequality on a number line, you use an CLOSED circle for which inequality symbols?

• <, >

• ≤, ≥

• <, ≤

• >, ≥

Solve for 'x':

6x+10>5x-12

[ Sample answer: x<3 ]

You flip an inequality symbol when you...

• Divide by a negative number ONLY

• There's a negative ANYWHERE

• Multiply by a negative number ONLY

• BOTH Multiply or Divide by a negative number

In the end, do I need to flip the inequality symbol when solving for 'x'?

-3x ≥ 12

• Yes

• No

When graphing an inequality on a number line, you use an OPEN circle for which inequality symbols?

• <, >

• ≤, ≥

• <, ≤

• >, ≥

Graph the solution set of the inequality.

2n + 4 < 16

• 
• 
• 
• 

• e ≥ -4
• e ≥ 28
• e ≥ -12
• e ≥ 24