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  1. Compiled by Navan Mudali Page 23 of 83 February 2011 QUESTION 1 1.1 Solve for x, correct to TWO decimal places, where necessary: 1.1.1 x(x 1) 12 (3) 1.1.2 2x2 3x 7 0 (4) 1.1.3 7x2 18x 9 ! 0 (4) 1.2 Solve for x and y simultaneously: 2x y 7 x2 xy 21 y2 (7) 1.3 Simplify completely, without the use of a calculator:

  2. 29 sie 2019 · Inequalities Practice Questions. Click here for Questions. Click here for Answers. inequality. Practice Questions. Previous:Graphical Inequalities Practice Questions. Next:Cumulative Frequency and Box Plot Practice Questions. GCSE Revision Cards. 5-a-day Workbooks.

  3. EXAM QUESTIONS. f ( x ) = 2 x 2 − 9 x + 4 , x ∈ . Sketch the graph of f ( x ) . The sketch must include the coordinates of any points where the graph of. f ( x ) meets the coordinate axes. Solve the inequality. f ( x ) > 0 . MP1-C , x < 1 ∪ x > 4 2. Solve each of the following inequalities. a) 4 ( 4 − 2 x ) < 30 .

  4. Provide examples of real-world problems that can be modeled by writing an equation or inequality. Begin with simple equations and inequalities and build up to more complex equations.

  5. Example 1. Find the solution set to the following inequality. Do your work in a step-by-step manner so as to demonstrate the order axioms and properties used. (1) 2x+1 < 3x+2 Solution: Suppose that x satisfies the given inequality. Then 2x+1 < 3x+2 2x < 3x+1 (I3) −x < 1 (I3) x > −1 (E3) Hence, if x satisfies inequality (1), then x ∈ ...

  6. To help solve inequalities, we use the following algebraic rules. They are much the same as the rules for manipulating equalities with one important di erence in Rule number 4.

  7. EXAMPLE 1. Writing and Graphing Compound Inequalities. Write each sentence as an inequality. Graph each inequality. a. A number x is greater than 8 and less than or equal to 4. −. b. A number y is at most 0 or at least . 3 — 2.