Gross Valdez
08/21/2024 · Middle School
67. (a) Solve the inequality \( 2\left(\frac{q-3}{5}-q\right) \leq \frac{2 q+1}{3} \). (b) Find the least non-negative integer satisfying the inequality in (a). 68. In a class, the number of boys is 9 more than half of the number of girls. If there are fewer than 34 students in the class, find the greatest possible number of girls in the class.
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**Problem 67:**
(a) Solve the inequality:
\[ 2\left(\frac{q - 3}{5} - q\right) \leq \frac{2q + 1}{3} \]
**Solution:**
\[ q \geq -\frac{23}{34} \]
(b) The least non-negative integer satisfying the inequality is:
\[ q = 0 \]
**Problem 68:**
In a class, the number of boys is 9 more than half the number of girls. If there are fewer than 34 students, the greatest possible number of girls is:
\[ 16 \]
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