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Maths-

General

Easy

Question

Write a compound inequality for the graph :

hint Hint:

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 inequality is -2 < x ≤ 6.

Let’s say that the number line is representing the number x
So, by seeing the number line we can conclude that x is greater than -2 and x is less than or equal to 6. So inequalities are represented as
x > -2 and x ≤ 6
or it can be written as -2 < x ≤ 6
Final Answer:
Hence, the inequality is -2 < x ≤ 6.

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