Algebra 7

3 marks · Normal

Solve the inequality .

Write your answer using inequalities.

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-1 < x < 5

Also accept: x > -1 and x < 5

Common mistakes: Incorrect factorisation; Incorrect direction of inequality

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Marking points

M1 · 1 mark · Attempts to factorise or use quadratic formula and identifies the correct critical values.

R1 · 1 mark · Identifies the correct region (between the two roots, where the quadratic is negative).

A1 · 1 mark · Correct answer:

Worked solution

Factorise:

Critical values are and .

The quadratic is less than 0 between the roots, i.e. .