Solve the Inequality?

Question

3 < or equal to 2 - x < 5

Can you please solve for me or give me steps???

Answer 1

just set each of the inequalities to equal signs:

3=2-x; x=-1

5=2-x; x=-3

Now, -3 and -1 are your boundaries. Look at each realm of boundaries. If x is less than -3 is the statement true? If x is between -3 and -1 is the statement true? If x is greater than -1 is the statement true?

Turns out it is only true if x is between -3 and -1, therefore -3&lt;x&lt;-1