Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(10x -10 < 8x + 12\) [ ,\(x < 11\)]

Q1) \(3x -4 < 7x + 8\) [ ,\(x >\) -3]

Q1) \(16x + 2 < 18x + 6\) [ ,\(x >\) -2]

Q2) \(10x -14 > 7x + 10\) [ ,\(x > 8\)]

Q2) \(3x + 13 > 13x + 13\) [ ,\(x <\) 0]

Q2) \(15x + 15 > 16x + 17\) [ ,\(x <\) -2]

Q3) \(10x -4 < 6x + 8\) [ ,\(x < 3\)]

Q3) \(5x + 18 < 6x + 8\) [ ,\(x >\) 10]

Q3) \(3x + 11 < 13x + 11\) [ ,\(x >\) 0]

Q4) \(7x + 3 < 4x + 15\) [ ,\(x < 4\)]

Q4) \(3x + 10 > 6x + 16\) [ ,\(x <\) -2]

Q4) \(17x -14 < 5x + 10\) [ ,\(x < 2\)]

Q5) \(5x -2 > 3x + 16\) [ ,\(x > 9\)]

Q5) \(5x + 12 < 6x + 18\) [ ,\(x >\) -6]

Q5) \(4x -3 > 7x + 3\) [ ,\(x <\) -2]

Q6) \(10x -6 > 7x + 12\) [ ,\(x > 6\)]

Q6) \(10x + 7 < 11x + 12\) [ ,\(x >\) -5]

Q6) \(16x + 8 > 14x + 16\) [ ,\(x > 4\)]

Q7) \(10x + 8 > 8x + 14\) [ ,\(x > 3\)]

Q7) \(6x -20 < 7x + 11\) [ ,\(x >\) -31]

Q7) \(16x + 3 > 18x + 3\) [ ,\(x <\) 0]

Q8) \(8x + 3 < 6x + 7\) [ ,\(x < 2\)]

Q8) \(3x -15 < 6x + 6\) [ ,\(x >\) -7]

Q8) \(9x + 3 < 7x + 7\) [ ,\(x < 2\)]

Q9) \(8x + 7 > 6x + 17\) [ ,\(x > 5\)]

Q9) \(6x + 17 < 9x + 17\) [ ,\(x >\) 0]

Q9) \(20x -13 > 18x + 7\) [ ,\(x > 10\)]

Q10) \(9x + 8 < 5x + 20\) [ ,\(x < 3\)]

Q10) \(3x -19 > 17x + 9\) [ ,\(x <\) -2]

Q10) \(14x -15 < 12x + 3\) [ ,\(x < 9\)]