Mr Daniels Maths
Solving Inequalities (Mixed)

Set 1

Set 2

Set 3

Q1) \(8x -3 < 29 \) [ , \(x < 4\)]

Q1) \(4(8 - x) > 16 \) [ \(,x < 4\)]

Q1) \(8x -2 > 9x + 13\) [ ,\(x <\) -15]

Q2) \(15 -2x > 5 \) [ , \(x < 5\)]

Q2) \(6(x + 7) < 66 \) [ \(,x < 4\)]

Q2) \(18x -17 < 4x + 11\) [ ,\(x < 2\)]

Q3) \(19 -2x \leqslant 9 \) [ , \(x \geqslant 5\)]

Q3) \(7(10 - x) \leqslant 28 \) [ \(,x \geqslant 6\)]

Q3) \(18x + 7 > 19x + 18\) [ ,\(x <\) -11]

Q4) \(4x -8 \geqslant 8 \) [ , \(x \geqslant 4\)]

Q4) \(6(x -4) \leqslant 30 \) [ \(,x \leqslant 9\)]

Q4) \(9x -17 > 3x + 13\) [ ,\(x > 5\)]

Q5) \(19 -3x \leqslant 4 \) [ , \(x \geqslant 5\)]

Q5) \(6(6 - x) < 18 \) [ \(,x > 3\)]

Q5) \(3x -4 > 9x + 8\) [ ,\(x <\) -2]

Q6) \(5x -4 \leqslant 36 \) [ , \(x \leqslant 8\)]

Q6) \(9(8 - x) \geqslant 9 \) [ \(,x \leqslant 7\)]

Q6) \(14x + 13 > 15x + 20\) [ ,\(x <\) -7]

Q7) \(8x -3 < 21 \) [ , \(x < 3\)]

Q7) \(5(8 - x) < 5 \) [ \(,x > 7\)]

Q7) \(9x -6 < 19x + 4\) [ ,\(x >\) -1]

Q8) \(19 -6x > 1 \) [ , \(x < 3\)]

Q8) \(9(x + 8) \leqslant 135 \) [ \(,x \leqslant 7\)]

Q8) \(9x -13 > 10x + 14\) [ ,\(x <\) -27]

Q9) \(20 -4x \geqslant 4 \) [ , \(x \leqslant 4\)]

Q9) \(9(x + 4) > 63 \) [ \(,x > 3\)]

Q9) \(17x -20 > 18x + 10\) [ ,\(x <\) -30]

Q10) \(12 -2x > 8 \) [ , \(x < 2\)]

Q10) \(4(x + 4) < 28 \) [ \(,x < 3\)]

Q10) \(17x -6 < 20x + 18\) [ ,\(x >\) -8]