Question

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.

Answer 1

Answer:

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

$7x=4x+5$

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

so

$7x<4x+5$

solve for x

subtract 4x both sides

$3x<5$

divide by 3 both sides

$x<\ 1.67$

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

$7x<4x-5$

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

so

The inequality would be

$7x>4x-5$