Mr Daniels Maths
Solving Inequalities

Set 1

Set 2

Set 3

Q1) \(7x -7 < 14 \) [ , \(x < 3\)]

Q1) \(9(x -5) \leqslant 9 \) [ \(,x \leqslant 6\)]

Q1) \(17x -18 > 13x + 14\) [ ,\(x > 8\)]

Q2) \(-2x + 8 \geqslant 2 \) [ , \(x \leqslant 3\)]

Q2) \(4(x + 6) < 64 \) [ \(,x < 10\)]

Q2) \(10x -16 < 4x + 20\) [ ,\(x < 6\)]

Q3) \(6x -8 \geqslant 10 \) [ , \(x \geqslant 3\)]

Q3) \(7(x + 7) > 63 \) [ \(,x > 2\)]

Q3) \(17x -4 > 14x + 17\) [ ,\(x > 7\)]

Q4) \(5x + 3 < 28 \) [ , \(x < 5\)]

Q4) \(9(x -2) \leqslant 27 \) [ \(,x \leqslant 5\)]

Q4) \(10x -18 > 3x + 10\) [ ,\(x > 4\)]

Q5) \(9x + 7 \geqslant 88 \) [ , \(x \geqslant 9\)]

Q5) \(10(x + 3) > 120 \) [ \(,x > 9\)]

Q5) \(16x + 2 < 13x + 14\) [ ,\(x < 4\)]

Q6) \(5x + 9 \leqslant 19 \) [ , \(x \leqslant 2\)]

Q6) \(2(x + 4) < 28 \) [ \(,x < 10\)]

Q6) \(13x + 7 > 11x + 17\) [ ,\(x > 5\)]

Q7) \(5x -4 \geqslant 46 \) [ , \(x \geqslant 10\)]

Q7) \(6(x + 7) \geqslant 96 \) [ \(,x \geqslant 9\)]

Q7) \(15x + 4 < 12x + 19\) [ ,\(x < 5\)]

Q8) \(2x -9 < 11 \) [ , \(x < 10\)]

Q8) \(3(x -6) < 6 \) [ \(,x < 8\)]

Q8) \(15x + 3 < 13x + 15\) [ ,\(x < 6\)]

Q9) \(8x + 8 \leqslant 64 \) [ , \(x \leqslant 7\)]

Q9) \(6(x + 3) \geqslant 66 \) [ \(,x \geqslant 8\)]

Q9) \(17x + 4 < 10x + 18\) [ ,\(x < 2\)]

Q10) \(10x + 5 > 55 \) [ , \(x > 5\)]

Q10) \(4(x + 9) \geqslant 56 \) [ \(,x \geqslant 5\)]

Q10) \(10x + 3 > 2x + 19\) [ ,\(x > 2\)]