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14. given the inequality $4x + 2 < -2$. 14a solve for $x$. enter your n…

Question

  1. given the inequality $4x + 2 < -2$. 14a solve for $x$. enter your next step here

Explanation:

Step1: Subtract 2 from both sides

To isolate the term with \( x \), we subtract 2 from both sides of the inequality \( 4x + 2 < -2 \). This gives us \( 4x + 2 - 2 < -2 - 2 \), which simplifies to \( 4x < -4 \).

Step2: Divide both sides by 4

To solve for \( x \), we divide both sides of the inequality \( 4x < -4 \) by 4. This gives us \( \frac{4x}{4} < \frac{-4}{4} \), which simplifies to \( x < -1 \).

Answer:

\( x < -1 \)