Solve Linear Inequalities

Solve Linear Inequalities

How to Solve a Linear Equation

Solving Inequalities is like Solving Equations

• Distribute First

• Get Like Terms together

• Do Opposite Operations

• BUT... If you divide or multiply by a NEGATIVE NUMBER you must flip the inequalitiy sign

Multiple Choice

Does the sign need to flip when solving?
-2x ≥ 22

• YES
• NO

Multiple Choice

Solve
-5m < 10

• m < -2
• m > -2
• m < -50
• m > -50

Multiple Choice

Does the sign need to flip when solving?

m - 5 > 8

• YES

• NO

Multiple Choice

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 
• t ≤ 1
• t=1
• 1=t

Graphing Inequalities

Multiple Choice

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

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

Multiple Choice

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

• ≤, ≥ 
• <, >
• ≤, <
• ≥, >

Multiple Choice

"At most" and "No more than" are both clue words for...

• <
• >
• ≤
• ≥

Multiple Choice

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

Multiple Choice

Match the graph with its inequality.

• c > 9
• c < 9
• c ≥ 9
• c ≤ 9

Multiple Choice

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Multiple Choice

Which sentence represents m > 41?

• Mary’s points, m, totaled more than 41
• Calvin ran no less than 41 miles, m
• The temperature, m, was less than 41°F
• The magazines’ cost, m, was not more than $41.