Answer:
[tex]3s+2j\leq $120[/tex]. The sweaters cost $10 or less each. We graph it on a number line at 10 and use a filled in dot pointing towards zero for less than.
Step-by-step explanation:
Mrs. Smith buys 3 sweaters (represented by 3s) and 2 jeans (represented by 2j) for a total of at most $120. We don't know the total but we do know she couldn't spend more than $120.
We write [tex]3s+2j\leq $120[/tex].
We know the jeans cost $45 each, so j=45. We substitute,
[tex]3s+2(45)\leq $120\\3s+90\leq $120[/tex]
We solve for s by subtracting 90 to the other side and dividing the result by 3.
[tex]3s+90-90\leq 120-90\\3s\leq 30\\\frac{3s}{3}\leq\frac{30}{3}[/tex]
[tex]s\leq 10[/tex].
The sweaters cost $10 or less each.
