Mr Daniels Maths
Solving Inequalities

Set 1

Set 2

Set 3

Q1) \(9x -9 > 27 \) [ , \(x > 4\)]

Q1) \(7(x -5) > 35 \) [ \(,x > 10\)]

Q1) \(12x -15 > 6x + 9\) [ ,\(x > 4\)]

Q2) \(3x + 4 \geqslant 28 \) [ , \(x \geqslant 8\)]

Q2) \(3(x + 5) < 42 \) [ \(,x < 9\)]

Q2) \(14x -17 > 12x + 9\) [ ,\(x > 13\)]

Q3) \(4x + 9 < 17 \) [ , \(x < 2\)]

Q3) \(8(x + 8) > 80 \) [ \(,x > 2\)]

Q3) \(17x -16 < 11x + 20\) [ ,\(x < 6\)]

Q4) \(10x -8 \geqslant 82 \) [ , \(x \geqslant 9\)]

Q4) \(6(x + 2) \geqslant 24 \) [ \(,x \geqslant 2\)]

Q4) \(12x -10 > 8x + 2\) [ ,\(x > 3\)]

Q5) \(2x + 9 \leqslant 19 \) [ , \(x \leqslant 5\)]

Q5) \(5(x + 6) < 65 \) [ \(,x < 7\)]

Q5) \(10x -18 < 6x + 6\) [ ,\(x < 6\)]

Q6) \(10x -9 < 31 \) [ , \(x < 4\)]

Q6) \(6(x -9) < 6 \) [ \(,x < 10\)]

Q6) \(13x -15 < 10x + 9\) [ ,\(x < 8\)]

Q7) \(3x + 4 \leqslant 13 \) [ , \(x \leqslant 3\)]

Q7) \(5(x + 3) < 55 \) [ \(,x < 8\)]

Q7) \(9x -8 < 6x + 13\) [ ,\(x < 7\)]

Q8) \(8x -9 < 39 \) [ , \(x < 6\)]

Q8) \(8(x -6) \leqslant 24 \) [ \(,x \leqslant 9\)]

Q8) \(18x -4 > 15x + 17\) [ ,\(x > 7\)]

Q9) \(3x -8 > 4 \) [ , \(x > 4\)]

Q9) \(3(x + 2) \leqslant 12 \) [ \(,x \leqslant 2\)]

Q9) \(16x -13 < 12x + 19\) [ ,\(x < 8\)]

Q10) \(3x + 9 \leqslant 27 \) [ , \(x \leqslant 6\)]

Q10) \(2(x -3) \geqslant 6 \) [ \(,x \geqslant 6\)]

Q10) \(20x -8 > 18x + 16\) [ ,\(x > 12\)]