Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(6x -5 > 2x + 7\) [ ,\(x > 3\)]

Q1) \(5x + 14 < 6x + 10\) [ ,\(x >\) 4]

Q1) \(9x + 10 > 11x + 10\) [ ,\(x <\) 0]

Q2) \(9x -15 < 7x + 7\) [ ,\(x < 11\)]

Q2) \(7x -14 < 17x + 6\) [ ,\(x >\) -2]

Q2) \(13x -11 > 17x + 9\) [ ,\(x <\) -5]

Q3) \(6x -20 < 2x + 16\) [ ,\(x < 9\)]

Q3) \(5x -2 > 7x + 10\) [ ,\(x <\) -6]

Q3) \(15x -10 > 13x + 14\) [ ,\(x > 12\)]

Q4) \(8x + 4 < 6x + 10\) [ ,\(x < 3\)]

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

Q4) \(16x + 3 < 11x + 13\) [ ,\(x < 2\)]

Q5) \(7x -4 < 5x + 14\) [ ,\(x < 9\)]

Q5) \(2x + 2 > 3x + 16\) [ ,\(x <\) -14]

Q5) \(8x + 20 < 9x + 3\) [ ,\(x >\) 17]

Q6) \(7x -11 < 4x + 19\) [ ,\(x < 10\)]

Q6) \(2x -4 > 7x + 11\) [ ,\(x <\) -3]

Q6) \(8x -9 > 6x + 19\) [ ,\(x > 14\)]

Q7) \(7x -12 > 4x + 15\) [ ,\(x > 9\)]

Q7) \(9x -15 > 10x + 6\) [ ,\(x <\) -21]

Q7) \(7x -8 < 8x + 8\) [ ,\(x >\) -16]

Q8) \(10x -5 > 2x + 19\) [ ,\(x > 3\)]

Q8) \(6x -8 < 15x + 19\) [ ,\(x >\) -3]

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

Q9) \(8x -12 > 4x + 8\) [ ,\(x > 5\)]

Q9) \(3x -2 < 9x + 10\) [ ,\(x >\) -2]

Q9) \(2x -14 < 9x + 7\) [ ,\(x >\) -3]

Q10) \(6x -5 < 4x + 15\) [ ,\(x < 10\)]

Q10) \(6x + 8 > 16x + 8\) [ ,\(x <\) 0]

Q10) \(18x -8 > 14x + 8\) [ ,\(x > 4\)]