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1OCR C3 January 2013 Q3
(a) Given that |t| = 3, find the possible values of |2t - 1|. [3] (b) Solve the inequality |x - sqrt2| > |x + 3 sqrt2|. [4]
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Part (a):
Part (b):
2Edexcel A Level June 2022 Paper 2 Q1
Figure 1 shows a sketch of the graph with equation y = |3 - 2x|. Solve |3 - 2x| = 7 + x. (4) In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
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Part (a):
3Edexcel A Level June 2023 Paper 2 Q12
The number of subscribers to two different music streaming companies is being monitored. The number of subscribers, N_A, in thousands, to company A is modelled by the equation N_A = |t - 3| + 4, t >= 0, where t is the time in years since monitoring began. The number of subscribers, N_B, in thousands, to company B is modelled by the equation N_B = 8 - |2t - 6|, t >= 0. Figure 2 shows a sketch of the graph of N_A and the graph of N_B over a 5-year period. (a) Find the initial difference between the number of subscribers to company A and the number of subscribers to company B. (2) When t = T company A reduced its subscription prices and the number of subscribers increased. (b) Suggest a value for T, giving a reason for your answer. (2) (c) Find the range of values of t for which N_A > N_B, giving your answer in set notation. (5) (d) State a limitation of the model used for company B. (1)
4Edexcel A Level June 2024 Paper 1 Q6
Figure 1 shows a sketch of the graph with equation y = 3|x - 2| + 5. The vertex of the graph is at the point P. (a) Find the coordinates of P. (2) (b) Solve the equation 16 - 4x = 3|x - 2| + 5. (2) A line l has equation y = kx + 4 where k is a constant. Given that l intersects y = 3|x - 2| + 5 at 2 distinct points, (c) find the range of values of k. (2)
