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Step 1: Subtract 3 from both sides of the inequality.

Step 2: Subtract [tex]$2x$[/tex] from both sides of the inequality.

Step 3: Divide both sides of the inequality by the coefficient of [tex]$x$[/tex].

What is the missing step in solving the inequality [tex]$8x \ \textless \ 2x + 3$[/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]\(5 < 2x + 3\)[/tex], follow these steps:

Step 1: Subtract 3 from both sides of the inequality.

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

This simplifies to:

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

Step 2: Subtract [tex]\(2x\)[/tex] from both sides of the inequality.

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

Step 3: Divide both sides of the inequality by the coefficient of [tex]\(x\)[/tex] (which is 2).

[tex]\[ \frac{2}{2} < \frac{2x}{2} \][/tex]

This simplifies to:

[tex]\[ 1 < x \][/tex]

Therefore, the missing step is:

[tex]\[ \boxed{\text{Subtract } 2x \text{ from both sides of the inequality.}} \][/tex]
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