Which situation can match the given inequality? 7x < 4x + 5
The cost of 7 journals is $5 greater than the cost of 4 journals.
The cost of 7 journals is less than the cost of 4 journals plus a $5 novel.
The cost of 7 journals is less than the cost of 4 journals with a $5 off coupon. The cost of 7 journals is greater than the cost of 4 journals plus a $5 novel.

The cost of 7 journals is less than the cost of 4 journals plus a $5 novel.

Step-by-step explanation:

Let

x -----> the cost of a journal

Verify each case

case 1) The cost of 7 journals is $5 greater than the cost of 4 journals

In this case the equation would be

case 2) The cost of 7 journals is less than the cost of 4 journals plus a $5 novel.

so

solve for x

subtract 4x both sides

divide by 3 both sides

so

The cost of one journal must be less than $1.67

case 3) The cost of 7 journals is less than the cost of 4 journals with a $5 off coupon.

so

The inequality would be

case 4) The cost of 7 journals is greater than the cost of 4 journals plus a $5 novel.

so

The inequality would be

1. In a conditional statement, there are two parts: the hypothesis and the conclusion. In the given statement, the hypothesis is: If you walk to the movie theater.

2. The converse of the statement is when you interchange the hypothesis and conclusion. In this case, the converse of the given statement is: If you live in California, then you live in San Diego.

3. The given statement is correct, because if that were true, 2 should be divisible by 4. However, it is not. However, the converse statement is true, because if the number is divisible by 4, it is given that the number is even. Thus, the answer is: The statement is false, but the converse is true.

4. The statement can be biconditional, if both the original and the converse statements are true. However, only the original statement is true. Thus, the answer is: No, because the statement is true, but its converse is false.

5. The answers are:
a.) True
b.) False, because the shape with four sides is a quadrilateral. For it to be square, the four sides must be equal.
c.) True
d.) False, a shape with four sides is a quadrilateral and not exactly a reactangle. It would only be a rectangle if two sets of sides are equal.