Mr Daniels Maths
Solving Inequalities (Mixed)

Set 1

Set 2

Set 3

Q1) \(3x + 2 \leqslant 23 \) [ , \(x \leqslant 7\)]

Q1) \(8(8 - x) < 40 \) [ \(,x > 3\)]

Q1) \(17x + 4 < 15x + 10\) [ ,\(x < 3\)]

Q2) \(4x -3 \leqslant 29 \) [ , \(x \leqslant 8\)]

Q2) \(4(x -2) < 12 \) [ \(,x < 5\)]

Q2) \(7x -5 > 2x + 15\) [ ,\(x > 4\)]

Q3) \(14 -2x \geqslant 2 \) [ , \(x \leqslant 6\)]

Q3) \(8(9 - x) > 16 \) [ \(,x < 7\)]

Q3) \(15x + 9 < 13x + 17\) [ ,\(x < 4\)]

Q4) \(20 -2x > 6 \) [ , \(x < 7\)]

Q4) \(8(4 - x) > 16 \) [ \(,x < 2\)]

Q4) \(9x -9 < 7x + 9\) [ ,\(x < 9\)]

Q5) \(4x -3 \leqslant 13 \) [ , \(x \leqslant 4\)]

Q5) \(8(x + 4) > 104 \) [ \(,x > 9\)]

Q5) \(12x + 8 > 13x + 15\) [ ,\(x <\) -7]

Q6) \(16 -4x > 8 \) [ , \(x < 2\)]

Q6) \(5(x + 10) < 80 \) [ \(,x < 6\)]

Q6) \(6x -20 > 2x + 8\) [ ,\(x > 7\)]

Q7) \(3x + 2 \geqslant 26 \) [ , \(x \geqslant 8\)]

Q7) \(9(10 - x) < 72 \) [ \(,x > 2\)]

Q7) \(13x -9 > 11x + 3\) [ ,\(x > 6\)]

Q8) \(2x + 6 > 14 \) [ , \(x > 4\)]

Q8) \(5(5 - x) < 5 \) [ \(,x > 4\)]

Q8) \(8x + 16 > 10x + 16\) [ ,\(x <\) 0]

Q9) \(8x + 10 \geqslant 34 \) [ , \(x \geqslant 3\)]

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

Q9) \(13x -15 < 16x + 12\) [ ,\(x >\) -9]

Q10) \(15 -3x \geqslant 6 \) [ , \(x \leqslant 3\)]

Q10) \(9(x + 8) \geqslant 162 \) [ \(,x \geqslant 10\)]

Q10) \(6x -14 > 2x + 2\) [ ,\(x > 4\)]