Mr Daniels Maths
Solving Inequalities 2

Set 1

Set 2

Set 3

Q1) \(4(2x -8) > 24\) [ \(,x > 7\)]

Q1) \(7 x -7 \over 9 \) \( \leqslant 7 \) [ , \(x \leqslant 10\)]

Q1) \(8(x -4) geqslant 5x -2\) [ \(,x geqslant 10\)]

Q2) \(5(3x + 4) > 50\) [ \(,x > 2\)]

Q2) \(3 x + 5 \over 5 \) \( > 4 \) [ , \(x > 5\)]

Q2) \(3(x -3) < 2x -4\) [ \(,x < 5\)]

Q3) \(4(4x -8) < 80\) [ \(,x < 7\)]

Q3) \(4 x + 8 \over 2 \) \( > 14 \) [ , \(x > 5\)]

Q3) \(6(x + 2) geqslant 4x -8\) [ \(,x geqslant -10\)]

Q4) \(2(4x + 6) < 84\) [ \(,x < 9\)]

Q4) \(2 x -6 \over 2 \) \( \geqslant 2 \) [ , \(x \geqslant 5\)]

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

Q5) \(7(5x -5) > 70\) [ \(,x > 3\)]

Q5) \(9 x + 9 \over 2 \) \( < 18 \) [ , \(x < 3\)]

Q5) \(3(x -5) geqslant 2x -8\) [ \(,x geqslant 7\)]

Q6) \(2(2x + 5) > 46\) [ \(,x > 9\)]

Q6) \(3 x -6 \over 6 \) \( \leqslant 2 \) [ , \(x \leqslant 6\)]

Q6) \(8(x -2) > 5x +8\) [ \(,x > 8\)]

Q7) \(2(7x + 2) \leqslant 74\) [ \(,x \leqslant 5\)]

Q7) \(8 x + 3 \over 7 \) \( \geqslant 5 \) [ , \(x \geqslant 4\)]

Q7) \(3(x -2) > 2x -2\) [ \(,x > 4\)]

Q8) \(3(4x -10) > 6\) [ \(,x > 3\)]

Q8) \(3 x + 9 \over 4 \) \( < 9 \) [ , \(x < 9\)]

Q8) \(4(x + 3) < 3x +4\) [ \(,x < -8\)]

Q9) \(10(3x -4) < 80\) [ \(,x < 4\)]

Q9) \(7 x + 3 \over 4 \) \( < 13 \) [ , \(x < 7\)]

Q9) \(10(x + 3) > 3x +9\) [ \(,x > -3\)]

Q10) \(8(6x -9) > 72\) [ \(,x > 3\)]

Q10) \(2 x -4 \over 6 \) \( > 1 \) [ , \(x > 5\)]

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