Solve inequality for x : -46 - 8x > 22

Mathematics

2 answers:

Scilla [17]2 years ago

7 0

Answer: x < −17/2

Step-by-step explanation:

Let's solve your inequality step-by-step.

−46 − 8x > 22

Step 1: Simplify both sides of the inequality.

−8x − 46 > 22

Step 2: Add 46 to both sides.

−8x − 46 + 46 > 22 + 46

−8x > 68

Step 3: Divide both sides by -8.

−8x/−8 > 68/−8

x < −17/2

insens350 [35]2 years ago

4 0

Answer:

x < -17/2

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

Identify

-46 - 8x > 22

Step 2: Solve for x

[Addition Property of Equality] Add 46 on both sides: -8x > 68
[Division Property of Equality] Divide -8 on both sides: x < -17/2

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