How do you solve the compound inequalities #−22 > −5x − 7 >=−3#?
I will assume that the leading - before the 22 is a hyphen and not a minus sign. If it were a minus sign there would be no solution.
You can apply any of the following operations to all parts of such a compound inequality retaining its truth:
(1) Add or subtract a constant.
(2) Multiply or divide by a positive number.
(3) Multiply or divide by a negative number and reverse the signs.
Start by adding 7 to all parts to get:
Divide by 5:
Multiply by -1 and reverse the signs:
Or in decimal notation: