Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(7x -3 < 5x + 5\) [ ,\(x < 4\)]

Q1) \(6x + 4 > 13x + 11\) [ ,\(x <\) -1]

Q1) \(6x + 10 > 7x + 16\) [ ,\(x <\) -6]

Q2) \(9x -13 > 7x + 19\) [ ,\(x > 16\)]

Q2) \(7x -11 < 13x + 13\) [ ,\(x >\) -4]

Q2) \(3x -12 < 7x + 12\) [ ,\(x >\) -6]

Q3) \(6x -13 < 3x + 2\) [ ,\(x < 5\)]

Q3) \(3x + 6 < 4x + 20\) [ ,\(x >\) -14]

Q3) \(10x -3 < 7x + 9\) [ ,\(x < 4\)]

Q4) \(7x -17 < 5x + 11\) [ ,\(x < 14\)]

Q4) \(5x + 11 > 6x + 11\) [ ,\(x <\) 0]

Q4) \(19x -10 < 17x + 8\) [ ,\(x < 9\)]

Q5) \(5x + 2 < 3x + 20\) [ ,\(x < 9\)]

Q5) \(5x + 3 > 19x + 3\) [ ,\(x <\) 0]

Q5) \(20x -16 > 14x + 8\) [ ,\(x > 4\)]

Q6) \(5x -17 > 2x + 10\) [ ,\(x > 9\)]

Q6) \(10x -15 < 11x + 8\) [ ,\(x >\) -23]

Q6) \(10x + 15 > 16x + 3\) [ ,\(x <\) 2]

Q7) \(9x -15 > 4x + 5\) [ ,\(x > 4\)]

Q7) \(4x + 17 < 6x + 13\) [ ,\(x >\) 2]

Q7) \(19x -16 > 13x + 2\) [ ,\(x > 3\)]

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

Q8) \(4x -4 < 5x + 14\) [ ,\(x >\) -18]

Q8) \(3x + 15 > 16x + 15\) [ ,\(x <\) 0]

Q9) \(10x -13 < 3x + 15\) [ ,\(x < 4\)]

Q9) \(3x + 8 < 9x + 2\) [ ,\(x >\) 1]

Q9) \(16x -17 > 20x + 3\) [ ,\(x <\) -5]

Q10) \(7x -14 < 4x + 7\) [ ,\(x < 7\)]

Q10) \(4x -12 < 10x + 18\) [ ,\(x >\) -5]

Q10) \(16x -12 < 9x + 16\) [ ,\(x < 4\)]