Question

4.6 > 1.2 + 1.7x

Explanation:

Step1: Subtract 1.2 from both sides

To isolate the term with \( x \), we subtract 1.2 from both sides of the inequality \( 4.6 > 1.2 + 1.7x \). This gives us \( 4.6 - 1.2 > 1.7x \). Calculating the left side, \( 4.6 - 1.2 = 3.4 \), so the inequality becomes \( 3.4 > 1.7x \).

Step2: Divide both sides by 1.7

To solve for \( x \), we divide both sides of the inequality \( 3.4 > 1.7x \) by 1.7. This gives us \( \frac{3.4}{1.7} > x \). Calculating the left side, \( \frac{3.4}{1.7} = 2 \), so the inequality simplifies to \( 2 > x \) or \( x < 2 \).

Answer:

\( x < 2 \)