Maths-
General
Easy

Question

Let a and b be real numbers. If a < b, how is the graph of x > a and x > b different from the graph of x > a or x > b

hintHint:

If two real numbers or algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality. For example, x>5 (x should be greater than 5).
A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. “Or” indicates that, as long as either statement is true, the entire compound sentence is true.
If the symbol is (≥ or ≤) then you fill in the dot and if the symbol is (> or <) then you do not fill in the dot.

The correct answer is: The graph of x > a and x > b does not include the region from a to b while it is included in the graph of x > a or x > b.


    If a < b, then in number line a will be anywhere on the left-hand side of b.
    The graph for the inequality x > a and x > b is given as

     
    The graph for the inequality x > a or x > b is given as

     
    Final Answer:
    The graph of x > a and x > b does not include the region from a to b while it is included in the graph of x > a or x > b.

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