Respectlolidn
Answered

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Solve for [tex]\( w \)[/tex]:

[tex]\[ 7w \ \textgreater \ -35 \][/tex]

A. [tex]\( w \ \textgreater \ -5 \)[/tex]

B. [tex]\( w \ \textless \ -5 \)[/tex]

C. [tex]\( w = -5 \)[/tex]

D. [tex]\( w \ \textless \ 5 \)[/tex]

Sagot :

GinnyAnsweridn
Alright, let's solve the inequality step-by-step.

1. We start with the given inequality:

[tex]\[ 7w > -35 \][/tex]

2. To isolate [tex]\( w \)[/tex], we need to divide both sides of the inequality by 7. Note that dividing or multiplying both sides of an inequality by a positive number does not change the direction of the inequality.

[tex]\[ \frac{7w}{7} > \frac{-35}{7} \][/tex]

3. Simplifying both sides, we get:

[tex]\[ w > -5 \][/tex]

So the solution to the inequality is [tex]\( w > -5 \)[/tex].

Next, we need to determine which option is correct based on this solution:

1. [tex]\( w > -5 \)[/tex]
2. [tex]\( w < -5 \)[/tex]
3. [tex]\( w = -5 \)[/tex]
4. [tex]\( w < 5 \)[/tex]

Given that the solution to the inequality is [tex]\( w > -5 \)[/tex], the correct option is:

[tex]\[ w = -5 \][/tex]

Therefore, the correct answer corresponds to option 3.
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