Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(6x -13 < 3x + 11\) [ ,\(x < 8\)]

Q1) \(3x + 2 > 13x + 2\) [ ,\(x <\) 0]

Q1) \(16x + 8 > 13x + 17\) [ ,\(x > 3\)]

Q2) \(8x -18 < 6x + 14\) [ ,\(x < 16\)]

Q2) \(4x -7 > 5x + 17\) [ ,\(x <\) -24]

Q2) \(15x -16 > 7x + 8\) [ ,\(x > 3\)]

Q3) \(4x -11 < 2x + 11\) [ ,\(x < 11\)]

Q3) \(9x + 17 > 13x + 5\) [ ,\(x <\) 3]

Q3) \(15x + 6 < 9x + 18\) [ ,\(x < 2\)]

Q4) \(10x + 6 < 7x + 12\) [ ,\(x < 2\)]

Q4) \(2x -11 > 5x + 7\) [ ,\(x <\) -6]

Q4) \(16x -10 < 7x + 17\) [ ,\(x < 3\)]

Q5) \(10x -11 < 7x + 7\) [ ,\(x < 6\)]

Q5) \(2x + 6 > 12x + 6\) [ ,\(x <\) 0]

Q5) \(5x -14 < 6x + 20\) [ ,\(x >\) -34]

Q6) \(10x -11 < 4x + 19\) [ ,\(x < 5\)]

Q6) \(3x + 9 > 4x + 4\) [ ,\(x <\) 5]

Q6) \(10x + 18 > 11x + 10\) [ ,\(x <\) 8]

Q7) \(6x -20 > 4x + 18\) [ ,\(x > 19\)]

Q7) \(4x -2 > 5x + 2\) [ ,\(x <\) -4]

Q7) \(12x -20 > 19x + 8\) [ ,\(x <\) -4]

Q8) \(9x -5 < 4x + 15\) [ ,\(x < 4\)]

Q8) \(3x + 19 > 14x + 8\) [ ,\(x <\) 1]

Q8) \(8x + 3 > 12x + 3\) [ ,\(x <\) 0]

Q9) \(7x -20 > 3x + 8\) [ ,\(x > 7\)]

Q9) \(8x + 17 > 9x + 14\) [ ,\(x <\) 3]

Q9) \(12x + 8 < 13x + 16\) [ ,\(x >\) -8]

Q10) \(5x -16 < 2x + 14\) [ ,\(x < 10\)]

Q10) \(3x -10 > 11x + 14\) [ ,\(x <\) -3]

Q10) \(9x -10 > 6x + 20\) [ ,\(x > 10\)]