Linear Inequalities

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
1. Two real numbers or two algebraic expressions related by the symbols <, >, ≤ or ≥ form an .
2. An inequality is said to be , if each variable occurs in first degree only and there is no term involving the product of the variables.
3. If a and b are real numbers, such that a<b, then the set of all real numbers x such that a  x  b is called a interval.
4. If a and b are real numbers, such that a<b, then the set of all real numbers x such that a < x < b is called a interval.
5. The values of x, which make an inequality a true statement, are called of the inequality.
6. If the origin satisfies the inequality of the half of the half plane, then the half plane contains the .
7. A line divides the plane in half planes.
8. The points of the enclosed area of the shaded portion are the of the given system of inequality.
9. When both sides are multiplied (or divided) by a negative number, then the inequality is .
10. Equal numbers may be to (or subtracted from ) both sides of an inequality.