Olivia visited a stationery shop to buy journals.
She had $36 allocated for the purchase.
Olivia bought 4 journals.
Following the purchase, Olivia had less than $12 remaining.
What is the solution set for x, representing the cost of each journal?
Let x be the cost of each journal.
The total cost of the 4 journals is 4x.
According to the problem, Olivia had $36 allocated for the purchase, so we can write the equation:
4x + $12 ≤ $36
Simplifying the equation, we have:
4x ≤ $36 - $12
4x ≤ $24
x ≤ $24/4
x ≤ $6
So, the solution set for x, representing the cost of each journal, is x ≤ $6.
you sure
Apologies for the incorrect response. Let's re-evaluate the problem.
Let x be the cost of each journal.
The total cost of purchasing 4 journals is 4x.
According to the problem, Olivia had $36 allocated for the purchase, and after buying the journals, she had less than $12 remaining.
We can set up the inequality:
4x + < $12 ≤ $36
Subtracting $12 from both sides of the inequality, we get:
4x ≤ $36 - $12
4x ≤ $24
Dividing both sides of the inequality by 4, we have:
x ≤ $24/4
x ≤ $6
So, the solution set for x, representing the cost of each journal, is x ≤ $6.
To clarify, this means that each journal costs $6 or less.
Olivia visited a stationery shop to buy journals.
She had $36 allocated for the purchase.
Olivia bought 4 journals.
Following the purchase, Olivia had less than $12 remaining.
What is the solution for x, representing the cost of each journal?
(1 point)
x>$3
x>$4
x>$5
x>$6
Let x be the cost of each journal.
The cost of 4 journals is 4x.
According to the problem, Olivia had $36 allocated for the purchase, and she had less than $12 remaining after buying the journals.
So, we can write the inequality:
4x + $12 < $36
Subtracting $12 from both sides of the inequality, we get:
4x < $36 - $12
4x < $24
Dividing both sides of the inequality by 4, we have:
x < $24/4
x < $6
Therefore, the solution for x, representing the cost of each journal, is x > $5.
you sure?
Apologies for the confusion. Let's go through the problem again.
Olivia had $36 allocated for the purchase of 4 journals. After buying the journals, she had less than $12 remaining.
Let x be the cost of each journal.
The total cost of the 4 journals is 4x .
We can set up the inequality:
4x + < $12 ≤ $36
Subtracting $12 from both sides of the inequality:
4x ≤ $36 - $12
4x ≤ $24
Dividing both sides of the inequality by 4:
x ≤ $24/4
x ≤ $6
Therefore, the solution for x, representing the cost of each journal, is x ≤ $6.
In summary, the correct solution is x ≤ $6.
wrong
Apologies for the incorrect responses. Let's correct the solution.
Let x be the cost of each journal.
The total cost of the 4 journals is 4x.
According to the problem, Olivia had $36 allocated for the purchase and after buying the journals, she had less than $12 remaining.
So we can write the inequality:
4x + < $12 ≤ $36
By subtracting $12 from both sides of the inequality, we get:
4x ≤ $36 - $12
4x ≤ $24
Dividing both sides of the inequality by 4, we have:
x ≤ $24/4
x ≤ $6
Therefore, the correct solution for x, representing the cost of each journal, is x ≤ $6.
To clarify, this means that the cost of each journal is $6 or less.