Mr Daniels Maths
Solving Inequalities (Mixed)

Set 1

Set 2

Set 3

Q1) \(8x -8 < 24 \) [ , \(x < 4\)]

Q1) \(3(8 - x) \geqslant 18 \) [ \(,x \leqslant 2\)]

Q1) \(10x -2 > 5x + 18\) [ ,\(x > 4\)]

Q2) \(10x + 5 < 35 \) [ , \(x < 3\)]

Q2) \(10(8 - x) < 10 \) [ \(,x > 7\)]

Q2) \(14x + 17 > 15x + 13\) [ ,\(x <\) 4]

Q3) \(12 -5x \geqslant 2 \) [ , \(x \leqslant 2\)]

Q3) \(3(8 - x) < 15 \) [ \(,x > 3\)]

Q3) \(12x + 2 > 10x + 6\) [ ,\(x > 2\)]

Q4) \(15 -2x < 9 \) [ , \(x > 3\)]

Q4) \(4(5 - x) < 4 \) [ \(,x > 4\)]

Q4) \(4x -19 > 5x + 17\) [ ,\(x <\) -36]

Q5) \(20 -8x \geqslant 4 \) [ , \(x \leqslant 2\)]

Q5) \(5(x -3) \geqslant 25 \) [ \(,x \geqslant 8\)]

Q5) \(2x -12 < 4x + 16\) [ ,\(x >\) -14]

Q6) \(-2x + 10 > 6 \) [ , \(x < 2\)]

Q6) \(5(9 - x) < 15 \) [ \(,x > 6\)]

Q6) \(17x + 3 < 18x + 4\) [ ,\(x >\) -1]

Q7) \(18 -3x \leqslant 3 \) [ , \(x \geqslant 5\)]

Q7) \(4(x + 2) \geqslant 28 \) [ \(,x \geqslant 5\)]

Q7) \(3x -4 < 7x + 16\) [ ,\(x >\) -5]

Q8) \(20 -4x \leqslant 12 \) [ , \(x \geqslant 2\)]

Q8) \(3(9 - x) \geqslant 12 \) [ \(,x \leqslant 5\)]

Q8) \(19x -9 < 12x + 5\) [ ,\(x < 2\)]

Q9) \(5x -7 \geqslant 43 \) [ , \(x \geqslant 10\)]

Q9) \(4(x + 10) < 68 \) [ \(,x < 7\)]

Q9) \(16x + 7 > 17x + 3\) [ ,\(x <\) 4]

Q10) \(16 -3x \leqslant 10 \) [ , \(x \geqslant 2\)]

Q10) \(7(x + 3) \leqslant 56 \) [ \(,x \leqslant 5\)]

Q10) \(11x -18 < 9x + 10\) [ ,\(x < 14\)]