SOLUTION: I,m haveing problems solving this compound inequality. Please explaine steps. 5>-4x+4 and 7< or equal to -4x+2. Thank you

Question 438039: I,m haveing problems solving this compound inequality. Please explaine steps.
5>-4x+4 and 7< or equal to -4x+2. Thank you
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
5>-4x+4 and 7< or equal to -4x+2
..
5>-4x+4
add -4 to both sides
1>-4x
divide both sides by 4
1/4>-x
multiply both sides by -1 and switch inequality sign
-1/4 or
x>-1/4
..
7<=-4x+2
add-2 to both sides
5<=-4x
divide both sides by 4
5/4<=-x
multiply both sides by -1 and switch inequality sign
-5/4>=x
or
x<=-5/4
ans:
Since this is a compound inequality, in interval notation would be written:
(-infinity,-5/4] U (-1/4, infinity)
RELATED QUESTIONS
i am haveing trouble with solving and graphing inegualities, i hope you can help me.this... (answered by elima)

I am doing algebra problems with associative,commutative and distributive... (answered by stanbon)

I am having difficulties with two compound inequality problems; they are the and/or... (answered by KMST)

I need to solve a compound inequality 7>-4x+6 or 10≤-5x+4 I have the solution... (answered by drk)

simplify first or move variables all to one side. please show steps to solving the... (answered by stanbon)

I am not understanding exactly how to do this problem. My answer comes up entirely... (answered by stanbon)

What is the inequality of 2a+7>-5a+28? Can u please explain inequalities completely... (answered by scianci)

I have a few more problems. Can you please show me how to solve these problems such as:... (answered by praseenakos@yahoo.com)

solve the inequality 2x+6>x-4 solve the inequality 3x+2< (or equal to)-16 solve the (answered by jim_thompson5910)