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Exam-Style Questions on Inequalities

Problems on Inequalities adapted from questions set in previous exams.


GCSE Higher

Describe the unshaded (white) region by writing down three inequalities.



GCSE Higher

On the grid below indicate the region that satisfies all three of these inequalities.

$$y>-2$$ $$x+y<5$$ $$y-1 \le \frac{x}{2}$$ Grid


GCSE Higher

(a) Solve \(5x^2=80\)

(b) Solve \(8x + 2 \gt x + 7\)

(c) Write down the largest integer that satisfies \(8x - 2 \lt 25\)

(d) Solve the following pair of equations

$$3x + 5y = 21$$ $$8x - 5y = 1$$


GCSE Higher

Solve \(2x^2 + 7x - 15 <0\)




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