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
[tex]7x=4x+5[/tex]
case 2) The cost of 7 journals is less than the cost of 4 journals plus a $5 novel.
so
[tex]7x<4x+5[/tex]
solve for x
subtract 4x both sides
[tex]3x<5[/tex]
divide by 3 both sides
[tex]x<\$1.67[/tex]
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
[tex]7x<4x-5[/tex]
case 4) The cost of 7 journals is greater than the cost of 4 journals plus a $5 novel.
so
The inequality would be
[tex]7x>4x-5[/tex]
