Mr Daniels Maths
Solving Inequalities

Set 1

Set 2

Set 3

Q1) \(3x -9 \leqslant 21 \) [ , \(x \leqslant 10\)]

Q1) \(10(x -2) > 40 \) [ \(,x > 6\)]

Q1) \(8x -2 > 5x + 4\) [ ,\(x > 2\)]

Q2) \(10x + 10 \geqslant 30 \) [ , \(x \geqslant 2\)]

Q2) \(8(x + 3) \geqslant 88 \) [ \(,x \geqslant 8\)]

Q2) \(5x -10 > 3x + 20\) [ ,\(x > 15\)]

Q3) \(8x -9 \geqslant 47 \) [ , \(x \geqslant 7\)]

Q3) \(2(x + 2) \geqslant 12 \) [ \(,x \geqslant 4\)]

Q3) \(14x -9 < 9x + 16\) [ ,\(x < 5\)]

Q4) \(9x + 9 > 63 \) [ , \(x > 6\)]

Q4) \(3(x + 5) \leqslant 27 \) [ \(,x \leqslant 4\)]

Q4) \(17x -9 < 11x + 9\) [ ,\(x < 3\)]

Q5) \(3x + 6 \geqslant 30 \) [ , \(x \geqslant 8\)]

Q5) \(3(x + 7) \geqslant 45 \) [ \(,x \geqslant 8\)]

Q5) \(12x + 8 < 8x + 16\) [ ,\(x < 2\)]

Q6) \(3x -7 < 2 \) [ , \(x < 3\)]

Q6) \(9(x + 8) > 144 \) [ \(,x > 8\)]

Q6) \(9x -17 > 7x + 17\) [ ,\(x > 17\)]

Q7) \(9x + 3 > 66 \) [ , \(x > 7\)]

Q7) \(3(x + 4) < 33 \) [ \(,x < 7\)]

Q7) \(19x -12 > 6x + 14\) [ ,\(x > 2\)]

Q8) \(7x -8 \geqslant 55 \) [ , \(x \geqslant 9\)]

Q8) \(9(x + 6) < 117 \) [ \(,x < 7\)]

Q8) \(18x -17 > 15x + 19\) [ ,\(x > 12\)]

Q9) \(-4x + 10 < 2 \) [ , \(x > 2\)]

Q9) \(3(x + 7) > 42 \) [ \(,x > 7\)]

Q9) \(18x + 8 > 15x + 14\) [ ,\(x > 2\)]

Q10) \(4x -10 \leqslant 22 \) [ , \(x \leqslant 8\)]

Q10) \(5(x + 2) \leqslant 20 \) [ \(,x \leqslant 2\)]

Q10) \(15x -18 < 12x + 3\) [ ,\(x < 7\)]