How do you solve and graph the inequality 3-2x>11

Mathematics

2 answers:

mafiozo [28]2 years ago

7 0

You subtract 3 with eleven and you're left with -2x>8 and then I think you divide them but I'm not 100% sure

Lapatulllka [165]2 years ago

5 0

Olving a linear inequality is almost exactly like solving a linear equation.

y=x+3 

Is generally thought of as a line with slope=1 and y intercept=3. 

Solutions are usually found by plugging in values for x and deriving the corresponding y values. 

For an inequality, follow the same procedure. 

y>x+3 

is graphed the same way, except that you draw a dash line and shade the area ABOVE the line. This indicates that (unlike an equation) the solutions are not ON the line but ABOVE it. 

Best wishes!

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alex41 [277]

In the slope intercept form, b represents the y intercept.
y = mx +- b

Therefore, if the y intercept is at 6, the formula of the line will look like
y=mx + 6

This eliminates the first two options,
$y = -6x + \frac{3}{4} 
$
and
$y=6x + \frac{3}{4}$

and leaves behind
$y= - \frac{3}{4} +6$
and
$y= \frac{3}{4} x+6$

Since the line you indicated is sloping downwards towards the lower right hand corner. It must have a negative slope.

Therefore, the answer must be the 3rd option.

 $y= - \frac{3}{4} +6$

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