Solve the inequalities below frac x 2 - 2 geq f... - SS2 Mathematics Linear Inequality in One Variable Question
Solve the inequalities below:
\(\frac{x}{2} - 2 \geq \frac{2x}{5} + \frac{1}{4}\)
A
\(x \geq \frac{45}{2}\)
B
\(x \leq \frac{45}{2}\)
C
\(x > \frac{45}{2}\)
D
\(x < \frac{45}{2}\)
correct option: a
Multiply each by the LCM of the denominators \(2,\ 5,\ 4 = 20\)
\(10x - 40 \geq 8x + 5\)
\[10x - 8x \geq 40 + 5\]
\[2x \geq 45\]
\(x \geq \frac{45}{2}\)
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