Mr Daniels Maths
Solving Inequalities

Set 1

Set 2

Set 3

Q1) \(5x + 5 \leqslant 20 \) [ , \(x \leqslant 3\)]

Q1) \(7(x -4) \geqslant 35 \) [ \(,x \geqslant 9\)]

Q1) \(15x -13 > 13x + 3\) [ ,\(x > 8\)]

Q2) \(8x -3 > 37 \) [ , \(x > 5\)]

Q2) \(3(x + 9) \leqslant 54 \) [ \(,x \leqslant 9\)]

Q2) \(13x -19 < 8x + 16\) [ ,\(x < 7\)]

Q3) \(7x + 7 < 42 \) [ , \(x < 5\)]

Q3) \(5(x + 4) \leqslant 55 \) [ \(,x \leqslant 7\)]

Q3) \(7x + 13 > 4x + 19\) [ ,\(x > 2\)]

Q4) \(2x -10 < 4 \) [ , \(x < 7\)]

Q4) \(7(x + 7) > 84 \) [ \(,x > 5\)]

Q4) \(16x + 10 > 11x + 20\) [ ,\(x > 2\)]

Q5) \(2x + 9 > 29 \) [ , \(x > 10\)]

Q5) \(5(x + 2) \geqslant 45 \) [ \(,x \geqslant 7\)]

Q5) \(19x -2 < 9x + 18\) [ ,\(x < 2\)]

Q6) \(2x + 10 < 16 \) [ , \(x < 3\)]

Q6) \(10(x + 6) < 110 \) [ \(,x < 5\)]

Q6) \(9x -3 < 6x + 9\) [ ,\(x < 4\)]

Q7) \(3x -5 < 16 \) [ , \(x < 7\)]

Q7) \(5(x + 8) \leqslant 60 \) [ \(,x \leqslant 4\)]

Q7) \(12x -17 > 8x + 11\) [ ,\(x > 7\)]

Q8) \(4x -6 < 26 \) [ , \(x < 8\)]

Q8) \(8(x + 7) > 80 \) [ \(,x > 3\)]

Q8) \(12x -17 > 10x + 19\) [ ,\(x > 18\)]

Q9) \(8x -6 > 58 \) [ , \(x > 8\)]

Q9) \(6(x + 7) > 90 \) [ \(,x > 8\)]

Q9) \(7x -6 > 3x + 6\) [ ,\(x > 3\)]

Q10) \(5x -7 \geqslant 23 \) [ , \(x \geqslant 6\)]

Q10) \(9(x + 3) \leqslant 108 \) [ \(,x \leqslant 9\)]

Q10) \(14x -5 < 12x + 17\) [ ,\(x < 11\)]