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3 years ago

Solve for -2x + 3 < 5.

Mathematics

2 answers:

densk [106]3 years ago

7 0

The answer is x<-1. hope this helps.

VARVARA [1.3K]3 years ago

7 0

Let's solve your inequality step-by-step.
−2x+3<5
Step 1: Subtract 3 from both sides.
−2x+3−3<5−3−2x<2
Step 2: Divide both sides by -2.
−2x/−2<2/−2x>−1
Answer:x>−1

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Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)

pshichka [43]

Option D (The student should have used as the slope of the perpendicular line.) is correct.

Step-by-step explanation:

We need to identify the error that the student made in finding equation of the line that passes through (-8,5) and is perpendicular to y = 4x + 2

The slope of the required line would me -1/m because both lines are perpendicular.

So, slope of new line will be: -1/4

because the equation of slope-intercept form is: $y=mx+b$ where m is the slope

Now, for finding equation the student used point slope form i.e $y-y_1=m(x-x_1)$

where y_1 and x_1 are the points and m is the slope.

Putting values:

x_1=-8, y_1=5 and m=-1/4

$y-5=-\frac{1}{4}(x-(-8))\\y-5=-\frac{1}{4}(x+8)\\y-5=-\frac{1x}{4}-2\\y=-\frac{1x}{4}-2+5\\y=-\frac{1x}{4}+3$

This is the correct solution.

The student made error by using the wrong slope he used 2 instead of -1/4

in the step $y-5 = 2(x-(-8))$

So, Option D (The student should have used as the slope of the perpendicular line.) is correct.

Keywords: Equation of line using Slope

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Amanda [17]

Answer:

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Step-by-step explanation:

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<h3>Why nonlinear?</h3>

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GaryK [48]

Answer:

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