Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(6x + 5 < 4x + 15\) [ ,\(x < 5\)]

Q1) \(9x -8 < 10x + 2\) [ ,\(x >\) -10]

Q1) \(8x + 3 > 9x + 5\) [ ,\(x <\) -2]

Q2) \(7x -6 < 3x + 6\) [ ,\(x < 3\)]

Q2) \(7x + 4 > 8x + 15\) [ ,\(x <\) -11]

Q2) \(15x -5 < 11x + 15\) [ ,\(x < 5\)]

Q3) \(9x + 5 > 2x + 19\) [ ,\(x > 2\)]

Q3) \(8x -10 < 9x + 7\) [ ,\(x >\) -17]

Q3) \(7x -17 > 8x + 19\) [ ,\(x <\) -36]

Q4) \(9x -19 > 7x + 17\) [ ,\(x > 18\)]

Q4) \(4x -19 < 5x + 13\) [ ,\(x >\) -32]

Q4) \(12x -11 < 7x + 9\) [ ,\(x < 4\)]

Q5) \(10x -10 < 8x + 20\) [ ,\(x < 15\)]

Q5) \(5x + 16 > 7x + 2\) [ ,\(x <\) 7]

Q5) \(5x -4 < 2x + 17\) [ ,\(x < 7\)]

Q6) \(7x -17 < 5x + 15\) [ ,\(x < 16\)]

Q6) \(2x -4 > 3x + 19\) [ ,\(x <\) -23]

Q6) \(14x -12 < 8x + 12\) [ ,\(x < 4\)]

Q7) \(6x -18 > 4x + 8\) [ ,\(x > 13\)]

Q7) \(3x + 10 > 5x + 18\) [ ,\(x <\) -4]

Q7) \(8x + 6 < 9x + 6\) [ ,\(x >\) 0]

Q8) \(10x -13 > 8x + 5\) [ ,\(x > 9\)]

Q8) \(2x -2 > 12x + 8\) [ ,\(x <\) -1]

Q8) \(2x + 20 < 10x + 4\) [ ,\(x >\) 2]

Q9) \(7x -4 > 3x + 20\) [ ,\(x > 6\)]

Q9) \(3x -15 < 16x + 11\) [ ,\(x >\) -2]

Q9) \(14x -20 < 2x + 16\) [ ,\(x < 3\)]

Q10) \(9x -10 < 4x + 20\) [ ,\(x < 6\)]

Q10) \(6x + 6 < 9x + 3\) [ ,\(x >\) 1]

Q10) \(11x -8 < 12x + 13\) [ ,\(x >\) -21]