How do you solve the compound inequalities $60 < 20u < 120$ ?

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Answer 1 · 2018-07-15T12:50:06

$u in(3,6)$

$"divide all intervals by 20"$

$3< u < 6" is the solution"$

$u in(3,6)larrcolor(blue)"in interval notation"$

Answer 2 · 2018-07-15T15:52:11

$3 < u < 6$

Interval notation: $(3,6)$

Remember, the end goal is to isolate $u$ . To go about doing this, we can divide all intervals by $20$ . We get

$3 < u < 6$

This means the solutions of this inequality are values of $u$ between $3$ and $6$ , not including those.

We can alternatively write this in interval notation as

$(3,6)$

Notice that we used parenthesis as opposed to brackets when we don't include the end values.

Hope this helps!

How do you solve the compound inequalities 60 < 20u < 12060 < 20u < 120?