Answer:
Amounts in the intervall [tex]130 \leq c \leq 230[/tex]
Step-by-step explanation:
We will take the variables c and s, where
c = amount to spend that month
s = savings of the month.
Since each month we save at least 100, we know that
[tex]0 \leq s \leq 100[/tex]
Moreover, we earn $250 per month and we spend $20 in a kayaking club, which tells us that
[tex]250=20+s+c[/tex]
and so
[tex]230-s=c[/tex]
By multiplying by -1, the first inequality also tells us that
[tex]-100 \leq -s \leq 0[/tex]
Consequently by adding 230 to the inequality, we get that
[tex]230-100 \leq 230-s \leq 230\\\\\Rightarrow 130\leq c \leq 230[/tex]
Answer:
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Step-by-step explanation:
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