Mr Daniels Maths
Solving Inequalities with negatives 2

Set 1

Set 2

Set 3

Q1) \(7x -20 > 5x + 10\) [ ,\(x > 15\)]

Q1) \(3x -19 < 4x + 3\) [ ,\(x >\) -22]

Q1) \(3x -10 < 4x + 9\) [ ,\(x >\) -19]

Q2) \(10x -14 > 3x + 14\) [ ,\(x > 4\)]

Q2) \(3x + 16 > 7x + 20\) [ ,\(x <\) -1]

Q2) \(8x + 19 < 13x + 4\) [ ,\(x >\) 3]

Q3) \(10x -5 > 8x + 5\) [ ,\(x > 5\)]

Q3) \(2x + 3 > 3x + 17\) [ ,\(x <\) -14]

Q3) \(5x + 13 > 6x + 16\) [ ,\(x <\) -3]

Q4) \(6x -13 > 3x + 11\) [ ,\(x > 8\)]

Q4) \(8x + 16 < 11x + 4\) [ ,\(x >\) 4]

Q4) \(15x + 18 < 17x + 14\) [ ,\(x >\) 2]

Q5) \(10x -16 > 7x + 8\) [ ,\(x > 8\)]

Q5) \(5x + 15 < 13x + 15\) [ ,\(x >\) 0]

Q5) \(5x + 3 > 6x + 13\) [ ,\(x <\) -10]

Q6) \(10x -12 < 7x + 15\) [ ,\(x < 9\)]

Q6) \(3x + 16 < 7x + 12\) [ ,\(x >\) 1]

Q6) \(19x -10 < 17x + 20\) [ ,\(x < 15\)]

Q7) \(7x -2 < 3x + 18\) [ ,\(x < 5\)]

Q7) \(3x -4 < 11x + 12\) [ ,\(x >\) -2]

Q7) \(7x -3 < 13x + 9\) [ ,\(x >\) -2]

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

Q8) \(6x + 5 > 7x + 20\) [ ,\(x <\) -15]

Q8) \(6x -18 > 4x + 4\) [ ,\(x > 11\)]

Q9) \(8x -8 < 6x + 8\) [ ,\(x < 8\)]

Q9) \(8x -19 < 10x + 15\) [ ,\(x >\) -17]

Q9) \(12x -17 < 9x + 4\) [ ,\(x < 7\)]

Q10) \(9x -16 < 2x + 12\) [ ,\(x < 4\)]

Q10) \(4x + 15 > 20x + 15\) [ ,\(x <\) 0]

Q10) \(6x -10 > 8x + 10\) [ ,\(x <\) -10]