Answer:
[tex]-2<-2a+3b<2[/tex]
Step-by-step explanation:
You can't write every single number because decimals can go off into infinity, meaning there would infinite possible values for the expression. Instead, we'll write an inequality.
First, let's find the smallest value this expression can equal.
While a cannot equal 4, we'll use it anyway and just use the < sign instead of the [tex]\leq\\[/tex] sign. We'll do the same for b, and use 2.
[tex]-2(4)+3(2) = -8+6 =-2[/tex]
Now let's find the largest number the expression can equal.
We'll use 5 for a and 4 for b.
[tex]-2(5)+3(4)=-10+12=2[/tex]
That means our inequality will be:
[tex]-2<-2a+3b<2[/tex]
