Mathematics 0580 · IGCSE · Inequalities

Inequalities — practice question

(a(i))[2]

Find the value of $P$ for $k=3$.

(a(ii))[3]

Rearrange the formula so that $k$ is the subject.

(b(i))[2]

Solve $x-3\le5x+7$.

(b(ii))[1]

Show your answer to part (b)(i) on the number line.

(c(i))[6]

Draw three additional lines and shade the part that is not needed, then find and label region $R$.

(c(ii))[2]

Find the integer coordinates $(x,y)$ in region $R$ that produce the maximum value of $2x+y$.

Worked solution & mark scheme

This 16-mark question has a full step-by-step worked solution and mark scheme. One marking point: Method: $5 \times 3^{2} - 7$

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