Construct the linear inequality:
The price, \(\text{RM}x\), of a double-storey terrace house is \(\text{RM}450\,000\) and above.
The linear inequality is,
\(x\geq 450\,000\).
Calculate: \(16-5x\leq -4\)
\(\begin{aligned} 16-5x&\leq -4 \\\\16-5x-16&\leq -4-16 \\\\-5x&\leq -20 \\\\\dfrac{-5x}{-5}&\geq \dfrac{-20}{-5} \\\\x&\geq 4. \end{aligned}\)
Solve:
\(8x+5\geq 5x-13\) and
\(3x-4\gt 9x+20\).
\(\begin{aligned}8x+5&\geq 5x-13 \\\\8x-5x&\geq-13-5 \\\\3x&\geq-18 \\\\x&\geq -6.\\\\ \end{aligned}\)
\(\begin{aligned}3x-4&\gt 9x+20 \\\\3x-9x&\gt20+4 \\\\-6x&\gt24 \\\\x&\lt-4.\\\\ \end{aligned}\)
Thus, the solution is
\(-6\leq x \lt -4\).
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