Mr Daniels Maths
Solving Inequalities with negatives

Set 1

Set 2

Set 3

Q1) \(11 -4x < 3 \) [ , \(x > 2\)]

Q1) \(7(3 - x) \leqslant 7 \) [ \(,x \geqslant 2\)]

Q1) \(12(x + 9) > 204 \) [ \(,x > 8\)]

Q2) \(17 -3x \leqslant 2 \) [ , \(x \geqslant 5\)]

Q2) \(9(8 - x) \leqslant 54 \) [ \(,x \geqslant 2\)]

Q2) \(9 -3x \leqslant 3 \) [ , \(x \geqslant 2\)]

Q3) \(14 -4x \leqslant 6 \) [ , \(x \geqslant 2\)]

Q3) \(7(8 - x) \leqslant 28 \) [ \(,x \geqslant 4\)]

Q3) \(16 -2x > 6 \) [ , \(x < 5\)]

Q4) \(20 -5x > 10 \) [ , \(x < 2\)]

Q4) \(8(5 - x) < 24 \) [ \(,x > 2\)]

Q4) \(3x + 10 < 34 \) [ , \(x < 8\)]

Q5) \(16 -6x \geqslant 4 \) [ , \(x \leqslant 2\)]

Q5) \(5(7 - x) > 10 \) [ \(,x < 5\)]

Q5) \(13 -2x < 1 \) [ , \(x > 6\)]

Q6) \(12 -2x < 2 \) [ , \(x > 5\)]

Q6) \(2(8 - x) > 8 \) [ \(,x < 4\)]

Q6) \(8x -3 < 77 \) [ , \(x < 10\)]

Q7) \(18 -4x < 2 \) [ , \(x > 4\)]

Q7) \(10(8 - x) \geqslant 60 \) [ \(,x \leqslant 2\)]

Q7) \(8x + 9 \geqslant 89 \) [ , \(x \geqslant 10\)]

Q8) \(20 -7x < 6 \) [ , \(x > 2\)]

Q8) \(3(8 - x) \leqslant 15 \) [ \(,x \geqslant 3\)]

Q8) \(5x + 4 \leqslant 44 \) [ , \(x \leqslant 8\)]

Q9) \(19 -3x < 13 \) [ , \(x > 2\)]

Q9) \(9(9 - x) > 54 \) [ \(,x < 3\)]

Q9) \(20(x + 3) \geqslant 140 \) [ \(,x \geqslant 4\)]

Q10) \(20 -6x \geqslant 8 \) [ , \(x \leqslant 2\)]

Q10) \(4(8 - x) \leqslant 12 \) [ \(,x \geqslant 5\)]

Q10) \(10(10 - x) > 40 \) [ \(,x < 6\)]