SOLUTION: I am trying to help my daughter with her summer math problems before entering 9th grade next school year. Can you help?
x + 4 ≥ 5 + 2x ≥ 6
another problem that ha
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-> SOLUTION: I am trying to help my daughter with her summer math problems before entering 9th grade next school year. Can you help?
x + 4 ≥ 5 + 2x ≥ 6
another problem that ha
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Question 49155: I am trying to help my daughter with her summer math problems before entering 9th grade next school year. Can you help?
x + 4 ≥ 5 + 2x ≥ 6
another problem that has me stumped:
5x > 10 + x + 1 > 6 Found 2 solutions by venugopalramana, atif.muhammad:Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website! I am trying to help my daughter with her summer math problems before entering 9th grade next school year. Can you help?
x + 4 ≥ 5 + 2x ≥ 6
TAKE THE INEQUALITIES ONE BY ONE
X+4>=5+2X
X-2X>=5-4=1
-X>=1
1<=-X......WHEN SIDES ARE INTERCHANGED INEQUALITY GETS REVERSED.(4>3..BUT...3<4)
-1>=X......I...WHEN MULTIPLED WITH -1 INEQUALITY GETS REVERSED.(4>3..BUT..-4<-3)
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5+2X>=6
2X>=6-5=1
X>=1/2=0.5
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NOW COMBINE BOTH ANSWERS
-1>=X>=0.5..THAT IS X LIES BETWEEN -1 AND 0.5
another problem that has me stumped:
5x > 10 + x + 1 > 6
5X>11+X
5X-X>11
4X>11......X>11/4..............I
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11+X>6
X>6-11=-5
X>-5........................II
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COMBINING
X SHOULD BE GREATER THAN -5 AS WELL AS 11/4.THAT IS X SHOULD BE GREATER THAN 11/4
HENCE ANSWER IS X>11/4
x + 4 ? 5 + 2x ? 6
The key to these inequalities is to consider them separately.
1.
x + 4 ? 5 + 2x AND 5 + 2x ? 6
-x ? 1 AND 2x ?1
x ? -1 AND x ?0.5
2.
5x > 10 + x + 1 > 6
5x > 11 + x > 6
Again, consider them separately:
5x > 11 + x AND 11 + x > 6
4x > 11 AND x > -5
x > 2.25 AND x > -5
The answer is x>-5 because it also includes all numbers x>2.25. So we ignore x>2.25 and take x>-5 as our answer.
Hope that helps!
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