Answered

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First, simplify both sides of the inequality. Then determine whether the given statement is true or false.

[tex]\[
3 \cdot 13 + 2 \cdot 4 \leq 46
\][/tex]

The inequality simplifies to [tex]\(\square\)[/tex].

[tex]\(\square \leq 46\)[/tex], so the given statement is [tex]\(\square\)[/tex].

Sagot :

GinnyAnswer
Let's solve the inequality step-by-step.

First, simplify the left-hand side of the inequality:
[tex]\[ 3 \cdot 13 + 2 \cdot 4 \leq 46 \][/tex]

Calculate [tex]\(3 \cdot 13\)[/tex]:
[tex]\[ 3 \cdot 13 = 39 \][/tex]

Calculate [tex]\(2 \cdot 4\)[/tex]:
[tex]\[ 2 \cdot 4 = 8 \][/tex]

Now combine these results on the left side:
[tex]\[ 39 + 8 = 47 \][/tex]

So, the inequality becomes:
[tex]\[ 47 \leq 46 \][/tex]

Next, let's determine whether this statement is true or false. Is 47 less than or equal to 46? Clearly:
[tex]\[ 47 \not\leq 46 \][/tex]

Therefore, the given statement is false.

To summarize:

The inequality simplifies to [tex]\(47 \leq 46\)[/tex].

Since [tex]\(47\)[/tex] is not less than or equal to [tex]\(46\)[/tex], the given statement is false.
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