Mr Daniels Maths
Solving Inequalities 2

Set 1

Set 2

Set 3

Q1) \(8(7x -5) \leqslant 72\) [ \(,x \leqslant 2\)]

Q1) \(10 x -6 \over 7 \) \( \leqslant 2 \) [ , \(x \leqslant 2\)]

Q1) \(7(x -7) geqslant 2x -4\) [ \(,x geqslant 9\)]

Q2) \(3(5x + 9) > 87\) [ \(,x > 4\)]

Q2) \(9 x + 7 \over 7 \) \( > 10 \) [ , \(x > 7\)]

Q2) \(8(x -2) < 3x -6\) [ \(,x < 2\)]

Q3) \(2(10x + 7) \geqslant 74\) [ \(,x \geqslant 3\)]

Q3) \(7 x -6 \over 4 \) \( < 16 \) [ , \(x < 10\)]

Q3) \(6(x + 7) leqslant 2x +10\) [ \(,x leqslant -8\)]

Q4) \(5(2x -3) > 25\) [ \(,x > 4\)]

Q4) \(5 x -8 \over 4 \) \( \leqslant 3 \) [ , \(x \leqslant 4\)]

Q4) \(5(x + 4) < 3x +4\) [ \(,x < -8\)]

Q5) \(3(6x -5) < 21\) [ \(,x < 2\)]

Q5) \(7 x -8 \over 9 \) \( > 3 \) [ , \(x > 5\)]

Q5) \(7(x -2) leqslant 5x -10\) [ \(,x leqslant 2\)]

Q6) \(5(5x -10) \geqslant 50\) [ \(,x \geqslant 4\)]

Q6) \(6 x + 3 \over 5 \) \( \geqslant 3 \) [ , \(x \geqslant 2\)]

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

Q7) \(2(8x + 7) > 46\) [ \(,x > 2\)]

Q7) \(5 x -5 \over 6 \) \( < 5 \) [ , \(x < 7\)]

Q7) \(10(x + 5) < 3x +8\) [ \(,x < -6\)]

Q8) \(9(6x -3) < 81\) [ \(,x < 2\)]

Q8) \(6 x -4 \over 4 \) \( \geqslant 11 \) [ , \(x \geqslant 8\)]

Q8) \(5(x -4) geqslant 2x +4\) [ \(,x geqslant 8\)]

Q9) \(8(5x -7) < 24\) [ \(,x < 2\)]

Q9) \(10 x + 5 \over 5 \) \( > 21 \) [ , \(x > 10\)]

Q9) \(9(x -4) < 4x -6\) [ \(,x < 6\)]

Q10) \(4(5x -7) \geqslant 52\) [ \(,x \geqslant 4\)]

Q10) \(4 x + 6 \over 2 \) \( < 19 \) [ , \(x < 8\)]

Q10) \(6(x -2) < 3x -6\) [ \(,x < 2\)]