Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(9x -8 > 6x + 16\) [ ,\(x > 8\)]

Q1) \(2x + 5 > 13x + 5\) [ ,\(x <\) 0]

Q1) \(6x + 14 < 7x + 4\) [ ,\(x >\) 10]

Q2) \(8x -12 > 6x + 2\) [ ,\(x > 7\)]

Q2) \(4x + 12 < 5x + 9\) [ ,\(x >\) 3]

Q2) \(3x + 15 < 15x + 3\) [ ,\(x >\) 1]

Q3) \(10x -7 < 4x + 11\) [ ,\(x < 3\)]

Q3) \(4x + 20 > 5x + 4\) [ ,\(x <\) 16]

Q3) \(9x + 15 > 16x + 15\) [ ,\(x <\) 0]

Q4) \(5x -12 > 3x + 2\) [ ,\(x > 7\)]

Q4) \(10x -6 < 11x + 18\) [ ,\(x >\) -24]

Q4) \(13x -18 > 10x + 3\) [ ,\(x > 7\)]

Q5) \(5x -3 < 2x + 12\) [ ,\(x < 5\)]

Q5) \(3x + 12 > 7x + 20\) [ ,\(x <\) -2]

Q5) \(10x -19 < 2x + 5\) [ ,\(x < 3\)]

Q6) \(7x -14 > 5x + 20\) [ ,\(x > 17\)]

Q6) \(7x -4 > 11x + 16\) [ ,\(x <\) -5]

Q6) \(6x + 3 > 7x + 13\) [ ,\(x <\) -10]

Q7) \(5x + 3 < 2x + 18\) [ ,\(x < 5\)]

Q7) \(6x -2 > 7x + 12\) [ ,\(x <\) -14]

Q7) \(15x -16 > 7x + 16\) [ ,\(x > 4\)]

Q8) \(7x -9 < 2x + 11\) [ ,\(x < 4\)]

Q8) \(9x -3 < 13x + 17\) [ ,\(x >\) -5]

Q8) \(4x + 12 > 5x + 17\) [ ,\(x <\) -5]

Q9) \(5x -6 > 3x + 12\) [ ,\(x > 9\)]

Q9) \(9x -15 < 20x + 7\) [ ,\(x >\) -2]

Q9) \(16x -13 > 20x + 11\) [ ,\(x <\) -6]

Q10) \(10x -14 < 6x + 2\) [ ,\(x < 4\)]

Q10) \(9x + 2 > 16x + 16\) [ ,\(x <\) -2]

Q10) \(7x -14 < 12x + 16\) [ ,\(x >\) -6]