Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(9x -7 < 6x + 20\) [ ,\(x < 9\)]

Q1) \(4x -3 > 6x + 5\) [ ,\(x <\) -4]

Q1) \(13x -18 > 7x + 6\) [ ,\(x > 4\)]

Q2) \(5x -17 > 3x + 7\) [ ,\(x > 12\)]

Q2) \(7x -6 > 20x + 7\) [ ,\(x <\) -1]

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

Q3) \(10x -14 < 5x + 6\) [ ,\(x < 4\)]

Q3) \(10x + 18 < 17x + 18\) [ ,\(x >\) 0]

Q3) \(3x + 13 < 8x + 8\) [ ,\(x >\) 1]

Q4) \(8x + 11 > 6x + 19\) [ ,\(x > 4\)]

Q4) \(2x -4 < 7x + 6\) [ ,\(x >\) -2]

Q4) \(19x + 5 > 20x + 10\) [ ,\(x <\) -5]

Q5) \(9x + 4 > 5x + 20\) [ ,\(x > 4\)]

Q5) \(2x + 4 > 5x + 13\) [ ,\(x <\) -3]

Q5) \(4x + 6 < 11x + 20\) [ ,\(x >\) -2]

Q6) \(7x -11 > 5x + 5\) [ ,\(x > 8\)]

Q6) \(9x + 4 < 12x + 16\) [ ,\(x >\) -4]

Q6) \(5x + 14 > 6x + 9\) [ ,\(x <\) 5]

Q7) \(10x + 5 < 8x + 9\) [ ,\(x < 2\)]

Q7) \(4x + 16 > 5x + 3\) [ ,\(x <\) 13]

Q7) \(11x -19 < 12x + 3\) [ ,\(x >\) -22]

Q8) \(10x -10 > 3x + 4\) [ ,\(x > 2\)]

Q8) \(9x + 12 < 16x + 19\) [ ,\(x >\) -1]

Q8) \(18x -6 < 20x + 2\) [ ,\(x >\) -4]

Q9) \(8x + 7 < 6x + 15\) [ ,\(x < 4\)]

Q9) \(4x -6 > 5x + 3\) [ ,\(x <\) -9]

Q9) \(17x + 20 > 20x + 11\) [ ,\(x <\) 3]

Q10) \(5x -3 > 2x + 3\) [ ,\(x > 2\)]

Q10) \(2x -6 > 3x + 16\) [ ,\(x <\) -22]

Q10) \(18x -8 < 20x + 20\) [ ,\(x >\) -14]