Mr Daniels Maths
Solving Inequalities

Set 1

Set 2

Set 3

Q1) \(5x -2 \geqslant 38 \) [ , \(x \geqslant 8\)]

Q1) \(6(x + 4) \leqslant 54 \) [ \(,x \leqslant 5\)]

Q1) \(15x -18 < 6x + 18\) [ ,\(x < 4\)]

Q2) \(3x + 2 < 29 \) [ , \(x < 9\)]

Q2) \(8(x + 2) \leqslant 40 \) [ \(,x \leqslant 3\)]

Q2) \(15x -2 < 12x + 7\) [ ,\(x < 3\)]

Q3) \(9x -7 \geqslant 29 \) [ , \(x \geqslant 4\)]

Q3) \(3(x -4) > 9 \) [ \(,x > 7\)]

Q3) \(4x + 5 < 2x + 17\) [ ,\(x < 6\)]

Q4) \(3x + 9 \leqslant 30 \) [ , \(x \leqslant 7\)]

Q4) \(10(x + 9) < 180 \) [ \(,x < 9\)]

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

Q5) \(4x -2 \leqslant 26 \) [ , \(x \leqslant 7\)]

Q5) \(6(x + 5) \geqslant 78 \) [ \(,x \geqslant 8\)]

Q5) \(12x + 13 < 10x + 19\) [ ,\(x < 3\)]

Q6) \(6x + 5 \geqslant 17 \) [ , \(x \geqslant 2\)]

Q6) \(4(x + 6) \leqslant 40 \) [ \(,x \leqslant 4\)]

Q6) \(7x -19 < 4x + 8\) [ ,\(x < 9\)]

Q7) \(10x + 3 < 53 \) [ , \(x < 5\)]

Q7) \(6(x + 8) > 84 \) [ \(,x > 6\)]

Q7) \(18x -15 > 16x + 17\) [ ,\(x > 16\)]

Q8) \(7x + 7 \geqslant 42 \) [ , \(x \geqslant 5\)]

Q8) \(10(x -4) < 60 \) [ \(,x < 10\)]

Q8) \(7x -4 > 5x + 20\) [ ,\(x > 12\)]

Q9) \(6x + 8 \geqslant 44 \) [ , \(x \geqslant 6\)]

Q9) \(6(x + 5) < 78 \) [ \(,x < 8\)]

Q9) \(18x -19 > 13x + 16\) [ ,\(x > 7\)]

Q10) \(2x -8 > 6 \) [ , \(x > 7\)]

Q10) \(7(x + 10) \leqslant 140 \) [ \(,x \leqslant 10\)]

Q10) \(16x -19 > 6x + 11\) [ ,\(x > 3\)]