Mr Daniels Maths
Solving Inequalities 2

Set 1

Set 2

Set 3

Q1) \(7(2x -2) > 28\) [ \(,x > 3\)]

Q1) \(6 x + 6 \over 3 \) \( \geqslant 22 \) [ , \(x \geqslant 10\)]

Q1) \(8(x -2) < 6x -10\) [ \(,x < 3\)]

Q2) \(6(2x -10) > 48\) [ \(,x > 9\)]

Q2) \(3 x -4 \over 2 \) \( < 10 \) [ , \(x < 8\)]

Q2) \(4(x -4) < 3x -7\) [ \(,x < 9\)]

Q3) \(2(4x + 8) < 32\) [ \(,x < 2\)]

Q3) \(3 x -9 \over 6 \) \( \geqslant 2 \) [ , \(x \geqslant 7\)]

Q3) \(10(x + 2) geqslant 5x +10\) [ \(,x geqslant -2\)]

Q4) \(3(4x -10) \leqslant 54\) [ \(,x \leqslant 7\)]

Q4) \(3 x + 8 \over 2 \) \( > 10 \) [ , \(x > 4\)]

Q4) \(3(x -4) > 2x -6\) [ \(,x > 6\)]

Q5) \(6(2x -6) > 24\) [ \(,x > 5\)]

Q5) \(5 x + 2 \over 4 \) \( \geqslant 13 \) [ , \(x \geqslant 10\)]

Q5) \(9(x + 6) geqslant 2x -2\) [ \(,x geqslant -8\)]

Q6) \(4(3x + 9) \leqslant 60\) [ \(,x \leqslant 2\)]

Q6) \(3 x + 6 \over 5 \) \( > 6 \) [ , \(x > 8\)]

Q6) \(3(x + 4) > 2x +10\) [ \(,x > -2\)]

Q7) \(3(3x -6) \leqslant 36\) [ \(,x \leqslant 6\)]

Q7) \(4 x -8 \over 4 \) \( < 4 \) [ , \(x < 6\)]

Q7) \(7(x -3) < 5x -5\) [ \(,x < 8\)]

Q8) \(2(7x -8) < 12\) [ \(,x < 2\)]

Q8) \(7 x + 6 \over 4 \) \( \leqslant 12 \) [ , \(x \leqslant 6\)]

Q8) \(9(x -3) leqslant 3x +9\) [ \(,x leqslant 6\)]

Q9) \(9(2x + 2) \geqslant 54\) [ \(,x \geqslant 2\)]

Q9) \(7 x + 5 \over 10 \) \( > 4 \) [ , \(x > 5\)]

Q9) \(9(x + 7) geqslant 2x -7\) [ \(,x geqslant -10\)]

Q10) \(2(4x + 3) < 70\) [ \(,x < 8\)]

Q10) \(3 x + 10 \over 2 \) \( \geqslant 20 \) [ , \(x \geqslant 10\)]

Q10) \(9(x + 3) < 5x +3\) [ \(,x < -6\)]