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erica [24]
3 years ago
9

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4? x < –3 x > –3 x < 3 x > 3

Mathematics
1 answer:
ivolga24 [154]3 years ago
7 0

Answer:

x > 3

Step-by-step explanation:

Given the inequality :

-2(5 – 4x) < 6x – 4

Expand the equation in bracket :

-10 + 8x < 6x - 4

Collect like terms

-10 + 4 < 6x - 8x

-6 < - 2x

Divude both sides by - 2

-6 / - 2 < - 2x / - 2

3 < x

x > 3

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Paralell to y=4x-6 through (12,10)
stiks02 [169]

<u>ANSWER</u>

The line that is parallel to y=4x-6 through (12,10) is  y=2x-14.



<u>EXPLANATION</u>


The equation that is parallel to the line y=4x-6 has a slope that is equal to the slope of this line.

By comparing this equation to the general slope intercept form,

y=mx+c,this line has slope m=2.


Hence the line parallel to this line also has slope m=2.

Let y=mx+b be the equation of the line parallel to the line

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We can substitute m=2 to obtain;

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If the line passes through the point (12,10),then this point must satisfy its equation.


We substitute x=12 and y=10 to obtain;


10=2(12)+b


We this equation for b.


\Rightarrow 10=24+b


\Rightarrow 10-24=b


\Rightarrow -14=b


We substitute this value of  b=-14 in to y=2x+b to get;


y=2x+-14.


Hence the equation of the line that is parallel to y=4x-6 through (12,10) is  y=2x-14.




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Alright! 
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6 0
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