Mr Daniels Maths
Solving Inequalities with negatives

Set 1

Set 2

Set 3

Q1) \(11 -2x \leqslant 7 \) [ , \(x \geqslant 2\)]

Q1) \(7(9 - x) > 42 \) [ \(,x < 3\)]

Q1) \(17 -2x \leqslant 3 \) [ , \(x \geqslant 7\)]

Q2) \(17 -3x < 11 \) [ , \(x > 2\)]

Q2) \(8(7 - x) < 16 \) [ \(,x > 5\)]

Q2) \(9x + 7 < 61 \) [ , \(x < 6\)]

Q3) \(20 -2x < 16 \) [ , \(x > 2\)]

Q3) \(5(9 - x) < 20 \) [ \(,x > 5\)]

Q3) \(10x + 7 > 57 \) [ , \(x > 5\)]

Q4) \(11 -3x < 5 \) [ , \(x > 2\)]

Q4) \(6(8 - x) < 12 \) [ \(,x > 6\)]

Q4) \(19(x + 5) \geqslant 152 \) [ \(,x \geqslant 3\)]

Q5) \(14 -3x \geqslant 5 \) [ , \(x \leqslant 3\)]

Q5) \(8(9 - x) \geqslant 56 \) [ \(,x \leqslant 2\)]

Q5) \(16(6 - x) > 48 \) [ \(,x < 3\)]

Q6) \(12 -2x > 6 \) [ , \(x < 3\)]

Q6) \(7(8 - x) \leqslant 42 \) [ \(,x \geqslant 2\)]

Q6) \(2x -4 > 16 \) [ , \(x > 10\)]

Q7) \(8 -3x \leqslant 2 \) [ , \(x \geqslant 2\)]

Q7) \(10(7 - x) > 30 \) [ \(,x < 4\)]

Q7) \(6(x + 3) > 30 \) [ \(,x > 2\)]

Q8) \(18 -3x < 3 \) [ , \(x > 5\)]

Q8) \(8(8 - x) > 32 \) [ \(,x < 4\)]

Q8) \(18 -7x > 4 \) [ , \(x < 2\)]

Q9) \(9 -2x > 1 \) [ , \(x < 4\)]

Q9) \(10(4 - x) \leqslant 10 \) [ \(,x \geqslant 3\)]

Q9) \(6(6 - x) \geqslant 24 \) [ \(,x \leqslant 2\)]

Q10) \(11 -3x \leqslant 5 \) [ , \(x \geqslant 2\)]

Q10) \(5(8 - x) < 15 \) [ \(,x > 5\)]

Q10) \(4(x -8) > 4 \) [ \(,x > 9\)]