Question

7.75+3.50x≤23.00
solve the inequality above to express how many pounds of orar
ahab could buy at the farmers market. answer accurate to the nearest
tenth of a pound and give your answer as an inequality.

Explanation:

Step1: Subtract 7.75 from both sides

To isolate the term with \(x\), we subtract 7.75 from both sides of the inequality \(7.75 + 3.50x \leq 23.00\).
\[
7.75 + 3.50x - 7.75 \leq 23.00 - 7.75
\]
Simplifying both sides, we get:
\[
3.50x \leq 15.25
\]

Step2: Divide both sides by 3.50

To solve for \(x\), we divide both sides of the inequality \(3.50x \leq 15.25\) by 3.50.
\[
x \leq \frac{15.25}{3.50}
\]
Calculating the right - hand side, \(\frac{15.25}{3.50}\approx4.3571\). Rounding to the nearest tenth, we get \(x \leq 4.4\)

Answer:

\(x \leq 4.4\)