\(Q31.\:\) A gym offers a monthly membership for \($20\), plus an additional \($5\) per training session. If a person does not want to spend more than \($70\) in a month, what is the maximum number of training sessions they can take?
\( a) \quad 8\)
\( b) \quad 9\)
\(c) \quad 10\)
\( d) \quad 11\)
\( \text{Answer/Explanation}\)
\(Q32.\:\) Sarah is saving for a new phone that costs at least \($300\). She earns \($5\) per hour at her job. What is the minimum number of hours, \(h\), she must work to afford the phone?
\( a) \quad \) \(5h≥300\)
\( b) \quad \) \(5h≤300\)
\(c) \quad \) \(h+5≥300\)
\( d) \quad \) \(h≥300\)
\( \text{Answer/Explanation}\)
\(Q33.\:\) A reptile enclosure must be kept between \(75°F\) and \(90°F\) for the animals to stay healthy. If the current temperature is \(T\), which of the following inequalities represents the acceptable temperature range?
\( a) \quad \) \(75≤T≤90\)
\( b) \quad \)\(75<T<90\)
\(c) \quad \) \(T≤75\) or \(T≥90\)
\( d) \quad \) \(T<75\) or \(T>90\)
\( \text{Answer/Explanation}\)
\(Q34.\:\) If \(−3≤2x−5≤7\) then \(x \in \)
\( a) \quad \) \(\left[-1,6\right]\)
\( b) \quad \) \(\left[1,6\right]\)
\(c) \quad \) \(\left[-2,6\right]\)
\( d) \quad \) \(\left[1,5\right]\)
\( \text{Answer/Explanation}\)
\(Q35.\:\) Solve for \(x\): \(−8<-2x+4≤10\)
\( a) \quad \) \(-6 < x \leq 3 \)
\( b) \qquad \) \(6 < x \leq -3 \)
\(c) \qquad \) \(6 > x \geq -3 \)
\( d) \quad \) \(-6 > x \geq 3 \)
\( \text{Answer/Explanation}\)
\(Q36.\:\) Solve for \(x\): \(-7 \leq – \frac{x}{2} \leq 7\) then
\( a) \quad \) \(-14 \leq x \leq 14\)
\( b) \quad \) \(-14 < x < 14\)
\(c) \quad \) \(-14 \geq x \geq 14\)
\( d) \quad \) \(-7 \leq x \leq 7\)
\( \text{Answer/Explanation}\)
\(Q37.\:\) If \(-5 \leq -\frac{x}{3} \leq 5\) then which of the following is NOT true?
\( a) \quad \) \(-15 \leq x \leq 15 \)
\( b) \quad \) \(-15 \geq -x \geq 15 \)
\(c) \quad \) \(-5 \geq \frac{x}{3} \geq 5 \)
\( d) \quad \) \(-15 \geq x \geq 15 \)
\( \text{Answer/Explanation}\)
\(Q38.\:\) If \(x−2>4\) and \(x+3≤10\) then
\( a) \quad \) \(x>6\)
\( b) \quad \) \(6<x≤7\)
\(c) \quad \) \(x>6\) and \(x≤7\)
\( d) \quad \) \(6<x<7 \)
\( \text{Answer/Explanation}\)