Algebra 7

3 marks · Normal

Solve the inequality .

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x \leq 2 \text{ or } x \geq 7

Also accept: x < 2 or x > 7; x \leq 2 , x \geq 7

Common mistakes: Giving ; Confusing direction of inequality

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Marking points

M1 · 1 mark · Attempts to factorise or use quadratic formula or sketch to find roots.

R1 · 1 mark · Identifies correct regions for the inequality based on the sign of coefficient.

A1 · 1 mark · States final answer: or

Worked solution

Factorise:

The quadratic is greater or equal to zero outside the roots.

So: or