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What is the meaning of the statement [tex]-30\ \textless \ -5[/tex]?

A. 30 is greater than 5
B. 30 is less than minus 5
C. Minus 30 is less than minus 5
D. Minus 30 is greater than minus 5

Answer :

To solve the inequality

[tex]$$
-30 < -5,
$$[/tex]

we first interpret what the inequality is saying: it means that the number on the left, [tex]$-30$[/tex], is smaller than the number on the right, [tex]$-5$[/tex].

Recall that on the number line, the more negative a number is, the smaller it is. Here, [tex]$-30$[/tex] is more negative than [tex]$-5$[/tex], which confirms that

[tex]$$
-30 \text{ is less than } -5.
$$[/tex]

Thus, the correct interpretation is "Minus 30 is less than minus 5." This corresponds to option C.

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