3 years ago

Rewrite the compound inequality as an absolute value inequality in one variable.

Mathematics

1 answer:

Nataliya [291]3 years ago

6 0

Answer:

Solution: x < -2 or x > 16

Step-by-step explanation:

x − 7 < −9 or x − 7 > 9

x − 7 < −9 : x − 7 > 9

x - 7 < -9

Add 7 to both sides

x - 7 +7 < -9 + 7

Simplify

x < -2

x - 7 > 9 : x > 16

x - 7 > 9

Add 7 to both sides

x - 7+7 > 9 +7

Simplify

x > 16

Combine the intervals

x < -2 or x > 16

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

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