Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(5x + 2 < 3x + 14\) [ ,\(x < 6\)]

Q1) \(4x -20 < 6x + 20\) [ ,\(x >\) -20]

Q1) \(9x + 3 > 2x + 17\) [ ,\(x > 2\)]

Q2) \(10x -4 < 7x + 8\) [ ,\(x < 4\)]

Q2) \(7x + 6 > 17x + 6\) [ ,\(x <\) 0]

Q2) \(7x -17 > 5x + 9\) [ ,\(x > 13\)]

Q3) \(9x -10 > 2x + 4\) [ ,\(x > 2\)]

Q3) \(9x + 6 > 10x + 3\) [ ,\(x <\) 3]

Q3) \(9x -4 > 7x + 20\) [ ,\(x > 12\)]

Q4) \(10x -12 > 5x + 13\) [ ,\(x > 5\)]

Q4) \(9x -18 < 17x + 14\) [ ,\(x >\) -4]

Q4) \(17x -9 < 14x + 6\) [ ,\(x < 5\)]

Q5) \(7x + 6 < 5x + 16\) [ ,\(x < 5\)]

Q5) \(2x + 19 < 12x + 9\) [ ,\(x >\) 1]

Q5) \(12x -11 > 9x + 4\) [ ,\(x > 5\)]

Q6) \(8x + 2 > 5x + 20\) [ ,\(x > 6\)]

Q6) \(3x + 16 < 4x + 4\) [ ,\(x >\) 12]

Q6) \(11x -19 < 7x + 17\) [ ,\(x < 9\)]

Q7) \(9x -10 > 5x + 18\) [ ,\(x > 7\)]

Q7) \(2x + 11 < 14x + 11\) [ ,\(x >\) 0]

Q7) \(13x + 8 > 11x + 12\) [ ,\(x > 2\)]

Q8) \(9x -11 > 7x + 13\) [ ,\(x > 12\)]

Q8) \(2x + 19 > 9x + 12\) [ ,\(x <\) 1]

Q8) \(20x -7 > 18x + 17\) [ ,\(x > 12\)]

Q9) \(9x -5 > 5x + 3\) [ ,\(x > 2\)]

Q9) \(3x + 3 < 4x + 5\) [ ,\(x >\) -2]

Q9) \(6x -12 > 4x + 8\) [ ,\(x > 10\)]

Q10) \(9x -3 > 7x + 5\) [ ,\(x > 4\)]

Q10) \(6x -18 < 7x + 18\) [ ,\(x >\) -36]

Q10) \(3x + 2 < 9x + 8\) [ ,\(x >\) -1]