Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(5x -5 > 3x + 19\) [ ,\(x > 12\)]

Q1) \(10x + 17 > 19x + 17\) [ ,\(x <\) 0]

Q1) \(8x + 20 > 16x + 4\) [ ,\(x <\) 2]

Q2) \(6x + 4 > 4x + 8\) [ ,\(x > 2\)]

Q2) \(9x -14 > 11x + 18\) [ ,\(x <\) -16]

Q2) \(19x -4 > 8x + 18\) [ ,\(x > 2\)]

Q3) \(5x + 10 < 3x + 14\) [ ,\(x < 2\)]

Q3) \(7x -10 < 10x + 8\) [ ,\(x >\) -6]

Q3) \(13x -5 < 9x + 11\) [ ,\(x < 4\)]

Q4) \(10x -12 > 2x + 20\) [ ,\(x > 4\)]

Q4) \(2x + 18 > 12x + 8\) [ ,\(x <\) 1]

Q4) \(9x -4 > 4x + 11\) [ ,\(x > 3\)]

Q5) \(9x -12 < 3x + 6\) [ ,\(x < 3\)]

Q5) \(5x -17 < 10x + 13\) [ ,\(x >\) -6]

Q5) \(8x + 3 < 6x + 11\) [ ,\(x < 4\)]

Q6) \(5x -7 < 3x + 17\) [ ,\(x < 12\)]

Q6) \(4x + 19 > 5x + 3\) [ ,\(x <\) 16]

Q6) \(17x -9 > 10x + 19\) [ ,\(x > 4\)]

Q7) \(5x + 3 > 3x + 9\) [ ,\(x > 3\)]

Q7) \(5x -9 > 8x + 6\) [ ,\(x <\) -5]

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

Q8) \(6x -11 > 3x + 16\) [ ,\(x > 9\)]

Q8) \(7x + 11 < 8x + 9\) [ ,\(x >\) 2]

Q8) \(4x + 10 < 5x + 12\) [ ,\(x >\) -2]

Q9) \(10x -10 < 7x + 2\) [ ,\(x < 4\)]

Q9) \(7x -8 < 8x + 20\) [ ,\(x >\) -28]

Q9) \(16x -15 < 6x + 5\) [ ,\(x < 2\)]

Q10) \(8x -10 > 3x + 15\) [ ,\(x > 5\)]

Q10) \(5x -4 < 9x + 4\) [ ,\(x >\) -2]

Q10) \(18x -12 > 16x + 8\) [ ,\(x > 10\)]