Maths-
General
Easy

Question

The value for area A of each figure is given. Write and solve a compound inequality for the value of x in each figure. 35 ≥ A ≥ 25

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: Hence, the compound inequality for x is 5 ≤ x ≤ 7.


    Area of the given rectangle(A) = 5  x = 5x
    Now it is given that 35 ≥ A ≥ 25 or 25 ≤ 5x ≤ 35
    Solving the inequality

    25 ≤ 5x ≤ 35
    Dividing 5 on all sides

    5 ≤ x ≤ 7
    Final Answer:
    Hence, the compound inequality for x is 5 ≤ x ≤ 7.

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