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Inequalities with brackets and fractions

Inequalities with brackets and fractions

Secondary 2
  1. Solve the inequality \(4(1-x)\le10\). Represent your solution on a number line.
  2. Hence write down the least integer value of \(x\) which satisfies \(4(1-x)\le10\).
  3. Solve the inequality \(\dfrac{2x+1}{3}-\dfrac{x}{2}<1\).

Solution:

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Answer:(a) \(x\ge-1\tfrac{1}{2}\) (b) \(-1\) (c) \(x<4\)

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