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Digiron [165]
3 years ago
7

Solve 4 - 3|x + 1| < -17

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0

Answer: x > 6, x < -8

Subtract 4 from both sides.

−3∣x+1∣<−17−4

Then simplify -17 - 4 to -21.

−3∣x+1∣<−21

Divide both sides by −3.

|x + 1| > -21/-3

Two negatives make a positive.

|x + 1| > 21/3

simplify 21/3 to 7

Break down the problem into these 2 equations.

x + 1 > 7

-(x + 1) > 7

Solve the 1st equation: x + 1 > 7

x > 6

Solve the 2nd equation: -(x + 1) > 7

x < -8

last collect all solutions

x > 6, x < -8

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Answer:

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

Step-by-step explanation:

The east edge cannot intersect with the west edge means that two lines are parallel.

If the two lines are parallel then they have same slope. We need to find the slopes of given lines and check which line has slope same as slope of west edge.

Slope of west edge.

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The standard equation for slope intercept form is:

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Now finding line for east edge.

Option 1.

Convert each given equation to standard slope intercept form and find the slope.

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Multiply with -1

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Option 2.

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Option 3

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Option 4.

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So, only line of Option 1 has slope = 2 which is equal to the slope of west edge.

Line of east wedge is: 2x - y = 96

So, Option 1 is correct.

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