GCSE Inequalities: Regions Starter Questions: 1. is an integer such that 2n 6   n –5 (a) List all the possible values of n. …………………………….. (3) (b) Solve the inequality 5 + > 5x 11 x – ………………………… (2) (Total 5 marks) 2. Solve ……………………. (Total 2 marks) Solve 4 < 2 7 3.  x – …………………………… (Total 3 marks) 4. The lines = 2 and + = 10 are drawn on the grid. y x x y – [Nov 2012 1H] On the grid, mark with a cross (×) each of the points with integer coordinates that are in the region defined by (3 marks) 5(a) 4x + 3y < 12 and are both integers. x y Write down two possible pairs of values that satisfy this inequality. = .............................., = .............................. x y and = ............................., = .............................. x y (2) (b) 4x + 3y < 12, < 3x, > 0, y y > 0 x and are both integers. x y On the grid, mark with a cross (×), each of the three points which satisfy all these four inequalities. (3) (Total 5 marks)
GCSE Inequalities: Regions Starter Questions: 1. n is an integer such that –5  2n  6 (a) List all the possible values of n. …………………………….. (3) (b) Solve the inequality 5 + x > 5x – 11 ………………………… (2) (Total 5 marks) 2. Solve ……………………. (Total 2 marks) 3. Solve 4 < x – 2  7 …………………………… (Total 3 marks) [Nov 2012 1H] 4. The lines y = x – 2 and x + y = 10 are drawn on the grid. On the grid, mark with a cross (×) each of the points with integer coordinates that are in the region defined by (3 marks) 5(a) 4x + 3y < 12 x and y are both integers. Write down two possible pairs of values that satisfy this inequality. x = .............................., y = .............................. and x = ............................., y = .............................. (2) (b) 4x + 3y < 12, y < 3x, y > 0, x > 0 x and y are both integers. On the grid, mark with a cross (×), each of the three points which satisfy all these four inequalities. (3) (Total 5 marks)
GCSE-InequalitiesRegionsWorksheet.docx