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235 ≤-8(1+5x)+3
i need the steps as well

Sagot :

Spaceidn

Answer:

x ≤ -6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. 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

  1. [Subtraction Property of Equality] Subtract 3 on both sides:                        232 ≤ -8(1 + 5x)
  2. [Division Property of Equality] Divide -8 on both sides:                                -29 ≥ 1 + 5x
  3. [Subtraction Property of Equality] Subtract 1 on both sides:                         -30 ≥ 5x
  4. [Division Property of Equality] Divide 5 on both sides:                                  -6 ≥ x
  5. Rewrite:                                                                                                             x ≤ -6
Dinchi94idn

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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