Solve inequality for x : -46 - 8x > 22
2 answers:
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
Answer:
x < -17/2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
-46 - 8x > 22
<u>Step 2: Solve for </u><em><u>x</u></em>
- [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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