1.5 Solving Inequalities

1.5 SOLVING INEQUALITIES

INEQUALITIES

An inequality is a relationship in which two quantities may not be equal. Phrases such as “at most” and “at least” suggest

this type of relationship

WRITE THE INEQUALITY THAT REPRESENTS THE SENTENCE. 5 fewer than a number is at least 12

The product of a number and 8 is greater than 25

SOLVING INEQUALITIES

The solutions of an inequality are the numbers (values) that make it true.

We solve inequalities the same way we solve equations Except: when we multiply or divide by a

negative number, we reverse the inequality symbol

SOLVE EACH INEQUALITY. GRAPH THE SOLUTION.

12 2 38y

5 3 55x

2 4 9 13w

NO SOLUTION OR ALL REAL NUMBERS AS SOLUTIONS When solving inequalities, we can reach

solutions that seem strange and require analysis. If we reach a false statement, there are no

solutions, and the statement is never true If the variable(s) drop out and we have a true

statement or we reach a point where one side is identical to the other, the statement is always true for all real numbers.

IS THE INEQUALITY ALWAYS, SOMETIMES, OR NEVER TRUE?

3 5 30x

2 3 1 6 7x x

5 2 3 7 3 8x x x

COMPOUND INEQUALITIES

A compound inequality is an inequality statement that joins two inequalities using the word and or the word or.

To solve a compound inequality containing and: Find all values of the variable that make both

inequalities true

SOLVE THE COMPOUND INEQUALITY. GRAPH THE SOLUTION.

7 2 1 3 18x and x

To solve a compound inequality containing or: Find all values of the variable that make at least

one of the inequalities true.

7 6 8 3k or k

7 3 11 4 1 13w or w

5 1 1 13x and x

3 2 1 11x

1.5 Solving Inequalities

Technology

Solving Inequalities Physical Fitness Zones 1 · Solving Inequalities ... Did you get the same answer using Charlie’s method as you ... ACTIVITY 1.6 Solving Inequalities

EXPRESSIONS, EQUATIONS AND INEQUALITIES Ch. 1.5 Solving Inequalities EQ: HOW CAN YOU CREATE AND SOLVE INEQUALITIES? I WILL CREATE AND SOLVE INEQUALITIES

100 200 300 400 500 Graphing Inequalities Solving One-Step Inequalities Solving Multi-Step Inequalities

6.1 Solving One-Step Linear Inequalities x + 8 > 1 6.2 Solving Multi-step Linear Inequalities 5x – 3 > 12 6.3 Solving Compound Inequalities -5

Solving Absolute Value Inequalities

26 Solving Compound Inequalities - Bainbridge High …€¦ · 26 Solving Compound Inequalities Warmup Answers. ... 26 Solving Compound Inequalities ... Solve and graph 2x 5 < 3 (x

8-8 Solving Radical Equations And Inequalities Solving ... - Solving... · solve radical inequalities by graphing or using algebra. ... 8-8 Solving Radical Equations and Inequalities

Chapter 8: Inequalities 8.1 Equations and Inequalities 8.2 Solving One- step Inequalities 8.3 Solving two step inequalities

Inequalities - Ms. Griggsmsmgriggs.weebly.com/.../8/55483585/solving_inequalities.pdf•Solving inequalities using division is similar to solving inequalities using multiplication

Creating & Solving Compound Inequalities · Notes 2.5 Creating & Solving Compound Inequalities Solving compound inequalities involving “AND.” Combining two or more simple inequalities

1.5 – Solving Inequalities. Just like solving equations

Solving Quadratic Inequalities

Algebra1 Solving Compound Inequalities

CONFIDENTIAL 1 Solving Inequalities by Multiplying or Dividing Solving Inequalities by Multiplying or Dividing

4. solving inequalities

Solving Inequalities > < ≥ ≤

5.4 – Solving Compound Inequalities

1.5 – Solving Inequalities

Solving Inequalities With Multiplication

Solving Inequalities. Exploring Inequalities PhraseSymbolExamples is less than