Math / Algebra

Question2.
Whether the inequality statement $\frac{j}{6}>3, \text { if } j=24$

Studdy Solution

STEP 1

What is this asking? Is $j$ divided by 6 greater than 3, if $j$ is 24? Watch out! Don't forget to substitute the value of $j$ before evaluating the inequality!

STEP 2

1. Substitute
2. Evaluate
3. Compare

STEP 3

Alright, so we're given this inequality $\frac{j}{6} > 3$ , and we're told that $j = 24$ .
What we're gonna do is substitute that value of $j$ right into the inequality.
It's like swapping a player in a game!

STEP 4

So, wherever we see a $j$ , we're gonna put a 24!
This gives us $\frac{24}{6} > 3$ .
See? We just plugged in that 24 for $j$ !

STEP 5

Now, let's evaluate the left side of the inequality.
We have $\frac{24}{6}$ .
What's 24 divided by 6?
That's right, it's 4!
So, our inequality becomes $4 > 3$ .

STEP 6

Finally, we need to compare the numbers and see if the inequality holds true.
Is 4 greater than 3?
Yes, it is! $4 > 3$ is a true statement!

STEP 7

Yes, the inequality $\frac{j}{6} > 3$ is true when $j = 24$ .

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Question2.
Whether the inequality statement $\frac{j}{6}>3, \text { if } j=24$

Studdy Solution

STEP 1

What is this asking? Is $j$ divided by 6 greater than 3, if $j$ is 24? Watch out! Don't forget to substitute the value of $j$ before evaluating the inequality!

STEP 2

1. Substitute
2. Evaluate
3. Compare

STEP 3

Alright, so we're given this inequality $\frac{j}{6} > 3$ , and we're told that $j = 24$ .
What we're gonna do is substitute that value of $j$ right into the inequality.
It's like swapping a player in a game!

STEP 4

So, wherever we see a $j$ , we're gonna put a 24!
This gives us $\frac{24}{6} > 3$ .
See? We just plugged in that 24 for $j$ !

STEP 5

Now, let's evaluate the left side of the inequality.
We have $\frac{24}{6}$ .
What's 24 divided by 6?
That's right, it's 4!
So, our inequality becomes $4 > 3$ .

STEP 6

Finally, we need to compare the numbers and see if the inequality holds true.
Is 4 greater than 3?
Yes, it is! $4 > 3$ is a true statement!

STEP 7

Yes, the inequality $\frac{j}{6} > 3$ is true when $j = 24$ .

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Question2.Whether the inequality statement j6>3, if j=24\frac{j}{6}>3, \text { if } j=246j​>3, if j=24

Studdy Solution

STEP 1

What is this asking? Is jjj divided by 6 greater than 3, if jjj is 24? Watch out! Don't forget to substitute the value of jjj *before* evaluating the inequality!

STEP 2

1. Substitute2. Evaluate3. Compare

STEP 3

Alright, so we're given this inequality j6>3\frac{j}{6} > 36j​>3, and we're told that j=24j = 24j=24.What we're gonna do is **substitute** that value of jjj right into the inequality.It's like swapping a player in a game!

STEP 4

So, wherever we see a jjj, we're gonna put a **24**!This gives us 246>3\frac{24}{6} > 3624​>3.See? We just plugged in that **24** for jjj!

STEP 5

Now, let's **evaluate** the left side of the inequality.We have 246\frac{24}{6}624​.What's 24 divided by 6?That's right, it's **4**!So, our inequality becomes 4>34 > 34>3.

STEP 6

Finally, we need to **compare** the numbers and see if the inequality holds true.Is 4 greater than 3?Yes, it is! 4>34 > 34>3 is a **true** statement!

STEP 7

Yes, the inequality j6>3\frac{j}{6} > 36j​>3 is true when j=24j = 24j=24.

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Question2.
Whether the inequality statement $\frac{j}{6}>3, \text { if } j=24$

What is this asking? Is $j$ divided by 6 greater than 3, if $j$ is 24? Watch out! Don't forget to substitute the value of $j$ before evaluating the inequality!

1. Substitute
2. Evaluate
3. Compare

Alright, so we're given this inequality $\frac{j}{6} > 3$ , and we're told that $j = 24$ .
What we're gonna do is substitute that value of $j$ right into the inequality.
It's like swapping a player in a game!

So, wherever we see a $j$ , we're gonna put a 24!
This gives us $\frac{24}{6} > 3$ .
See? We just plugged in that 24 for $j$ !

Now, let's evaluate the left side of the inequality.
We have $\frac{24}{6}$ .
What's 24 divided by 6?
That's right, it's 4!
So, our inequality becomes $4 > 3$ .

Finally, we need to compare the numbers and see if the inequality holds true.
Is 4 greater than 3?
Yes, it is! $4 > 3$ is a true statement!

Yes, the inequality $\frac{j}{6} > 3$ is true when $j = 24$ .