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Find the range of values of x for which 3x - 7 ... - JAMB Mathematics 2009 Question

Find the range of values of x for which 3x - 7 \(\leq\) 0 and x + 5 > 0
A
-5 < x < \(\frac{7}{3}\)
B
-5 \(\leq\) x \(\leq\) \(\frac{7}{3}\)
C
-5 < x \(\leq\) \(\frac{7}{3}\)
D
-5 \(\leq\) x < \(\frac{7}{3}\)
correct option: c

3x - 7 (\leq) 0 and x + 5 > 0

3x (\leq) 7 and x > -5

x (\leq) (\frac{7}{3})

∴ Range -5 < x (\leq) (\frac{7}{3})

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