Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(7x -4 < 4x + 11\) [ ,\(x < 5\)]

Q1) \(4x -16 < 5x + 10\) [ ,\(x >\) -26]

Q1) \(14x -5 < 15x + 16\) [ ,\(x >\) -21]

Q2) \(4x -4 > 2x + 12\) [ ,\(x > 8\)]

Q2) \(6x -19 < 9x + 11\) [ ,\(x >\) -10]

Q2) \(14x + 10 < 16x + 2\) [ ,\(x >\) 4]

Q3) \(5x -11 < 3x + 17\) [ ,\(x < 14\)]

Q3) \(4x -2 < 14x + 18\) [ ,\(x >\) -2]

Q3) \(19x -20 > 13x + 4\) [ ,\(x > 4\)]

Q4) \(9x -6 < 7x + 8\) [ ,\(x < 7\)]

Q4) \(3x + 9 < 10x + 16\) [ ,\(x >\) -1]

Q4) \(13x -2 > 3x + 18\) [ ,\(x > 2\)]

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

Q5) \(2x -14 > 5x + 13\) [ ,\(x <\) -9]

Q5) \(20x -11 < 12x + 13\) [ ,\(x < 3\)]

Q6) \(9x -11 < 6x + 10\) [ ,\(x < 7\)]

Q6) \(10x + 15 > 11x + 7\) [ ,\(x <\) 8]

Q6) \(8x -14 < 14x + 10\) [ ,\(x >\) -4]

Q7) \(9x -8 < 5x + 4\) [ ,\(x < 3\)]

Q7) \(2x + 15 > 7x + 15\) [ ,\(x <\) 0]

Q7) \(17x -8 > 15x + 12\) [ ,\(x > 10\)]

Q8) \(7x -8 < 5x + 14\) [ ,\(x < 11\)]

Q8) \(6x -19 < 7x + 13\) [ ,\(x >\) -32]

Q8) \(3x -19 < 12x + 17\) [ ,\(x >\) -4]

Q9) \(8x -19 < 6x + 5\) [ ,\(x < 12\)]

Q9) \(6x -17 > 8x + 15\) [ ,\(x <\) -16]

Q9) \(6x -5 < 4x + 9\) [ ,\(x < 7\)]

Q10) \(7x -3 > 3x + 9\) [ ,\(x > 3\)]

Q10) \(6x -10 < 9x + 5\) [ ,\(x >\) -5]

Q10) \(20x -3 > 17x + 18\) [ ,\(x > 7\)]