Asked by Sarah
how do you solve this compound inequality
5>-4x+4 or 9<or equal to -3x+4
5>-4x+4 or 9<or equal to -3x+4
Answers
Answered by
Damon
5>-4x+4
1>-4x
(1/4) > -x
-1/4 <x change direction of arrow when multiplying both sides by negative value.
so
x> -1/4 is in (everything right of -1/4)
now
9</=-3x+4
5 </= -3x
-5/3 >/= x
so
x </= -5/3 is in (-5/3 and everything left of that)
graph that
The only part of the x axis that is not in your domain is between right of -5/3 and -1/4 including -1/4
1>-4x
(1/4) > -x
-1/4 <x change direction of arrow when multiplying both sides by negative value.
so
x> -1/4 is in (everything right of -1/4)
now
9</=-3x+4
5 </= -3x
-5/3 >/= x
so
x </= -5/3 is in (-5/3 and everything left of that)
graph that
The only part of the x axis that is not in your domain is between right of -5/3 and -1/4 including -1/4
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