Mr Daniels Maths
Solving Inequalities with negatives

Set 1

Set 2

Set 3

Q1) \(19 -3x > 13 \) [ , \(x < 2\)]

Q1) \(5(9 - x) > 25 \) [ \(,x < 4\)]

Q1) \(15 -2x \geqslant 9 \) [ , \(x \leqslant 3\)]

Q2) \(11 -4x \leqslant 3 \) [ , \(x \geqslant 2\)]

Q2) \(7(9 - x) > 7 \) [ \(,x < 8\)]

Q2) \(12 -4x \geqslant 4 \) [ , \(x \leqslant 2\)]

Q3) \(20 -6x < 8 \) [ , \(x > 2\)]

Q3) \(3(9 - x) < 18 \) [ \(,x > 3\)]

Q3) \(19(3 - x) \geqslant 19 \) [ \(,x \leqslant 2\)]

Q4) \(13 -3x < 1 \) [ , \(x > 4\)]

Q4) \(8(6 - x) > 24 \) [ \(,x < 3\)]

Q4) \(20 -4x > 12 \) [ , \(x < 2\)]

Q5) \(20 -9x > 2 \) [ , \(x < 2\)]

Q5) \(7(6 - x) > 7 \) [ \(,x < 5\)]

Q5) \(4x + 4 < 24 \) [ , \(x < 5\)]

Q6) \(18 -2x \geqslant 10 \) [ , \(x \leqslant 4\)]

Q6) \(9(10 - x) < 27 \) [ \(,x > 7\)]

Q6) \(9(8 - x) \leqslant 45 \) [ \(,x \geqslant 3\)]

Q7) \(19 -7x \leqslant 5 \) [ , \(x \geqslant 2\)]

Q7) \(5(6 - x) \geqslant 20 \) [ \(,x \leqslant 2\)]

Q7) \(18(x -2) < 36 \) [ \(,x < 4\)]

Q8) \(15 -5x > 5 \) [ , \(x < 2\)]

Q8) \(6(8 - x) \leqslant 30 \) [ \(,x \geqslant 3\)]

Q8) \(16 -2x > 8 \) [ , \(x < 4\)]

Q9) \(18 -6x > 6 \) [ , \(x < 2\)]

Q9) \(5(10 - x) < 30 \) [ \(,x > 4\)]

Q9) \(4(7 - x) > 20 \) [ \(,x < 2\)]

Q10) \(8 -3x > 2 \) [ , \(x < 2\)]

Q10) \(5(4 - x) > 5 \) [ \(,x < 3\)]

Q10) \(11(x -3) < 22 \) [ \(,x < 5\)]