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7. Which of the following inequality signs would make a true statement if it replaced the question mark in the following equation?

[tex]\[3 - 5 \, ? \, -3\][/tex]

A. [tex]=$[/tex]

B. [tex]\ \textless \ [/tex]

C. [tex]5[/tex]

D. [tex]\ \textgreater \ [/tex]

Sagot :

GinnyAnswer
To address this question, let's analyze the expression [tex]\( 3 - 5 \)[/tex] and compare it to [tex]\(-3\)[/tex].

1. First, evaluate the left-hand side of the expression [tex]\( 3 - 5 \)[/tex]:
[tex]\[ 3 - 5 = -2 \][/tex]

2. Next, compare [tex]\(-2\)[/tex] to [tex]\(-3\)[/tex]:

- Equality Comparison ([tex]\(=\)[/tex]):
Does [tex]\(-2\)[/tex] equal [tex]\(-3\)[/tex]?
No, they are not equal.

- Less Than Comparison ([tex]\(<\)[/tex]):
Is [tex]\(-2\)[/tex] less than [tex]\(-3\)[/tex]?
No, [tex]\(-2\)[/tex] is greater than [tex]\(-3\)[/tex].

- Greater Than Comparison ([tex]\(>\)[/tex]):
Is [tex]\(-2\)[/tex] greater than [tex]\(-3\)[/tex]?
Yes, [tex]\(-2\)[/tex] is greater than [tex]\(-3\)[/tex].

Given these comparisons, the correct inequality sign that makes the statement [tex]\( 3 - 5 \? -3 \)[/tex] true is [tex]\(>\)[/tex].

Therefore, the answer is:
[tex]\[ D. > \][/tex]
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