SOLUTION: Solve the compound inequality and write the solution set using interval notation: 3<5-x<7

Algebra.Com
Question 52375: Solve the compound inequality and write the solution set using interval notation: 3<5-x<7
Answer by funmath(2933)   (Show Source): You can put this solution on YOUR website!
3<5-x<7
-5+3<-5+5-x<-5+7
-2<-x<2
-2/-1>-x/-1>2/-1 Flip the inequality signs because you divided the inequality by a negative number
2>x>-2
Interval notation:(-2,2)

RELATED QUESTIONS

Solve each compound inequality and write the solution set using interval notation.... (answered by uma)
Solve each compound inequality, write its solution set in interval notation, and graph... (answered by ikleyn)
How would I solve the compound inequality and write the solution set in interval... (answered by Abbey)
Solve the compound inequality. Express your answer using inequality signs, and then write (answered by ikleyn)
Graph the compound inequality. Write the solution using interval notation. x<-3 or... (answered by stanbon)
graph the compound inequality. write the solution using interval notation. x<-5 or... (answered by jim_thompson5910)
Solve the compound inequality. Write the solution set using interval notation and graph... (answered by josgarithmetic,MathTherapy)
Solve the following compound inequality. Write the solution set in interval notation.... (answered by jim_thompson5910)
Solve the compound inequality and write the solution using interval notation. 2 < (x... (answered by Nate)