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Sagot :
Answer:
x ≤ -6
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
235 ≤ -8(1 + 5x) + 3
Step 2: Solve for x
- [Subtraction Property of Equality] Subtract 3 on both sides: 232 ≤ -8(1 + 5x)
- [Division Property of Equality] Divide -8 on both sides: -29 ≥ 1 + 5x
- [Subtraction Property of Equality] Subtract 1 on both sides: -30 ≥ 5x
- [Division Property of Equality] Divide 5 on both sides: -6 ≥ x
- Rewrite: x ≤ -6
Step-by-step explanation:
To solve for x, make sure you move everything else to the other side of the ≤ sign.
So,
[tex]235\leq -8(1+5x)+3\\232\leq -8-40x\\240\leq -40x\\-6\geq x[/tex]
* Remember that the sign changes anytime you divide by a negative number!
So your answer is:
[tex]x\leq -6[/tex], x is less than or equal to -6.
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