Question

7x - 4.5 < 9
options:
x < 1.93
x > 1.93
x < 2.54
x > 2
x < 2
next
question 3 of 5

Explanation:

Step1: Add 4.5 to both sides

To isolate the term with \( x \), we add 4.5 to both sides of the inequality \( 7x - 4.5 < 9 \). This gives us \( 7x - 4.5 + 4.5 < 9 + 4.5 \), which simplifies to \( 7x < 13.5 \).

Step2: Divide both sides by 7

Next, we divide both sides of the inequality \( 7x < 13.5 \) by 7 to solve for \( x \). So, \( x < \frac{13.5}{7} \approx 1.9286 \), which is approximately \( 1.93 \). So the solution to the inequality is \( x < 1.93 \).

Answer:

\( x < 1.93 \) (the option with "x < 1.93")