Answered

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Step 1: Subtract 3 from both sides of the inequality.
Step 2: (Missing step)
Step 3: Divide both sides of the inequality by the coefficient of x.

What is the missing step in solving the inequality [tex]\(5 - 8x \ \textless \ 2x + 3\)[/tex]?

A. Add [tex]\(2x\)[/tex] to both sides of the inequality.
B. Subtract [tex]\(8x\)[/tex] from both sides of the inequality.
C. Subtract [tex]\(2x\)[/tex] from both sides of the inequality.
D. Add [tex]\(8x\)[/tex] to both sides of the inequality.

Sagot :

GinnyAnswer
To solve the inequality [tex]\( 5 - 8x < 2x + 3 \)[/tex], let's break down the steps required in detail.

### Step-by-Step Solution:

Step 1: Subtract 3 from both sides of the inequality.
This helps in simplifying the constant terms on each side.

[tex]\[ 5 - 8x - 3 < 2x + 3 - 3 \][/tex]

Simplify the constants:

[tex]\[ 2 - 8x < 2x \][/tex]

Step 2: Subtract 2x from both sides of the inequality.
This step isolates the variable [tex]\( x \)[/tex] on one side.

[tex]\[ 2 - 8x - 2x < 2x - 2x \][/tex]

Combine like terms:

[tex]\[ 2 - 10x < 0 \][/tex]

Step 3: Divide both sides of the inequality by the coefficient of [tex]\( x \)[/tex] (which is -10).
When dividing by a negative number, remember to reverse the inequality sign.

[tex]\[ -10x < -2 \][/tex]

Divide both sides by -10:

[tex]\[ x > \frac{-2}{-10} \][/tex]

Simplify the fraction:

[tex]\[ x > \frac{1}{5} \][/tex]

The missing step in solving the inequality is "Subtract 2x from both sides of the inequality."
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