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1EDEXCEL C1 June 2014 Q3
Find the set of values of x for which (a) 3x - 7 > 3 - x, (2) (b) x^2 - 9x <= 36, (4) (c) both 3x - 7 > 3 - x and x^2 - 9x <= 36. (1)
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2EDEXCEL C1 June 2013 Q5
Find the set of values of x for which (a) 2(3x + 4) > 1 - x, (2) (b) 3x^2 + 8x - 3 < 0. (4)
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3OCR C1 June 2012 Q9
(i) A rectangular tile has length 4x cm and width (x + 3) cm. The area of the rectangle is less than 112 cm^2. By writing down and solving an inequality, determine the set of possible values of x. [6] (ii) A second rectangular tile of length 4y cm and width (y + 3) cm has a rectangle of length 2y cm and width y cm removed from one corner (shown in the diagram on the page - an L-shaped tile). Given that the perimeter of this tile is between 20 cm and 54 cm, determine the set of possible values of y. [5]
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4OCR C1 January 2012 Q9
(i) Sketch the curve y = 12 - x - x^2, giving the coordinates of all intercepts with the axes. [5] (ii) Solve the inequality 12 - x - x^2 > 0. [2] (iii) Find the coordinates of the points of intersection of the curve y = 12 - x - x^2 and the line 3x + y = 4. [5]
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5EDEXCEL C1 June 2010 Q3
Find the set of values of x for which (a) 3(x - 2) < 8 - 2x, (2) (b) (2x - 7)(1 + x) < 0, (3) (c) both 3(x - 2) < 8 - 2x and (2x - 7)(1 + x) < 0. (1)
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6EDEXCEL C1 June 2009 Q4
Find the set of values of x for which (a) 4x - 3 > 7 - x, (2) (b) 2x^2 - 5x - 12 < 0, (4) (c) both 4x - 3 > 7 - x and 2x^2 - 5x - 12 < 0. (1)
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7EDEXCEL C1 January 2009 Q7
The equation kx^2 + 4x + (5 - k) = 0, where k is a constant, has 2 different real solutions for x. (a) Show that k satisfies k^2 - 5k + 4 > 0. (3) (b) Hence find the set of possible values of k. (4)
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8EDEXCEL C1 January 2008 Q8
The equation x^2 + kx + 8 = k has no real solutions for x. (a) Show that k satisfies k^2 + 4k - 32 < 0. (3) (b) Hence find the set of possible values of k. (4)
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9Edexcel AS June 2023 Paper 1 Q4
(a) Sketch the curve with equation y = k/x, x != 0, where k is a positive constant. (2) (b) Hence or otherwise, solve 16/x <= 2. (3)
