Solve the inequality and graph the solution set on a number line. Be sure to use closed dots or open circles. Do not use parentheses or brackets.

(x+3)/(x−1)≤ 0

Question

Solve the inequality and graph the solution set on a number line. Be sure to use closed dots or open circles. Do not use parentheses or brackets.

(x+3)/(x−1)≤ 0

anonymous · Answer

$$-3 \le x<1$$
Explanation:
1. If x = 3, numerator is zero which satisfies the inequality
2. If x<-3, numerator and denominator are negative so it does not satisfy
3. If x=1 , fraction is undefined
4. If x>1 fraction is positive 

So on a number line you would have a closed dot at -3 and a open circle at 1 and all values in between are allowed