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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 37
a.

Solve the inequality 2x2+5x−12⩽02x^2 + 5x - 12 \leqslant 02x2+5x−12⩽0, giving your answer in set notation.

[3]
b.

Determine whether there is any value of x x\,x that satisfies both of the inequalities 2x2+5x−12⩽02x^2 + 5x - 12 \leqslant 02x2+5x−12⩽0 and 4x−1>x+54x - 1 > x + 54x−1>x+5 Fully justify your answer.

[3]
Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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