Mr Daniels Maths
Solving Inequalities

Set 1

Set 2

Set 3

Q1) \(3x + 10 \geqslant 22 \) [ , \(x \geqslant 4\)]

Q1) \(7(x -8) \leqslant 7 \) [ \(,x \leqslant 9\)]

Q1) \(19x -9 < 17x + 19\) [ ,\(x < 14\)]

Q2) \(7x -5 \leqslant 23 \) [ , \(x \leqslant 4\)]

Q2) \(7(x + 9) \geqslant 77 \) [ \(,x \geqslant 2\)]

Q2) \(14x -13 < 10x + 11\) [ ,\(x < 6\)]

Q3) \(9x + 5 \leqslant 77 \) [ , \(x \leqslant 8\)]

Q3) \(4(x + 2) < 28 \) [ \(,x < 5\)]

Q3) \(11x -9 > 8x + 3\) [ ,\(x > 4\)]

Q4) \(4x + 3 < 35 \) [ , \(x < 8\)]

Q4) \(6(x + 3) \leqslant 48 \) [ \(,x \leqslant 5\)]

Q4) \(9x + 2 < 5x + 14\) [ ,\(x < 3\)]

Q5) \(9x + 7 \leqslant 25 \) [ , \(x \leqslant 2\)]

Q5) \(3(x + 9) \geqslant 45 \) [ \(,x \geqslant 6\)]

Q5) \(5x -12 < 3x + 18\) [ ,\(x < 15\)]

Q6) \(7x + 9 \leqslant 37 \) [ , \(x \leqslant 4\)]

Q6) \(9(x + 4) < 117 \) [ \(,x < 9\)]

Q6) \(9x -16 > 7x + 20\) [ ,\(x > 18\)]

Q7) \(5x -9 \leqslant 31 \) [ , \(x \leqslant 8\)]

Q7) \(3(x + 10) > 51 \) [ \(,x > 7\)]

Q7) \(20x + 2 < 16x + 14\) [ ,\(x < 3\)]

Q8) \(10x -9 < 41 \) [ , \(x < 5\)]

Q8) \(3(x + 8) > 30 \) [ \(,x > 2\)]

Q8) \(12x -10 < 5x + 4\) [ ,\(x < 2\)]

Q9) \(8x + 9 \leqslant 73 \) [ , \(x \leqslant 8\)]

Q9) \(10(x -5) < 40 \) [ \(,x < 9\)]

Q9) \(6x -15 > 4x + 17\) [ ,\(x > 16\)]

Q10) \(6x + 9 < 69 \) [ , \(x < 10\)]

Q10) \(4(x + 8) < 68 \) [ \(,x < 9\)]

Q10) \(19x -9 < 15x + 15\) [ ,\(x < 6\)]