Solve 5-2x > 4, then represent on a number line
1 answer:
Answer: x < 1/2 or x < 0.5
The graph is below
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There are two ways to solve this
Method 1
5 - 2x > 4
-2x > 4-5
-2x > -1
x < -1/(-2) .... note the inequality sign flips
x < 1/2
x < 0.5
The inequality sign flips whenever we divide both sides by a negative number.
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Method 2
5 - 2x > 4
5 - 2x+2x > 4+2x
5 > 4+2x
4+2x < 5
2x < 5-4
2x < 1
x < 1/2
x < 0.5
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To graph this on a number line, we'll plot an open hole at 1/2 or 0.5 on the number line. Then we shade to the left to represent all values smaller than 1/2 = 0.5
The open hole signals that 0.5 itself is NOT part of the solution set.
See the diagram below.
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SOLUTION:
Step 1 :
In this question, we are meant to find what percent of 142 is 58.
Step 2 :
We make the assumption that 142 is 100 % since it is our output value.
Step 3:
We next represent the value we see with x.
Step 4 :
From step 2, it follows that 100 % = 142.
Step 5 :
In the same vein, x % = 58.
Step 6 :
This gives us a pair of simple equations:
Step 7 :
By simply dividing equation 1 by equation 2 and
taking note of the fact that the Left-Hand Side of both equations have the same unit ( % ), we have that :
Step 8 :
Taking the inverse ( or reciprocal ) of both sides yields:
CONCLUSION:
Therefore, 58 is 40.85 % of 142.