Which shows the graph of the solution set of 2x + y < 4?

Answer and step-by-step explanation:

This inequality can be written similarly to an equation in slope-intercept form, y=mx+b, by isolating the y.  Subtract 2x from each side:

2x+y-2x < 4-2x

y < 4-2x

y < -2x+4

This makes the related equation y = -2x+4.  In this equation, the slope is -2 and the y-intercept is 4.  This means we first plot the point (0, 4) on the y-axis.  The slope is -2, which can be written as -2/1; this means to find the next point, we go from down 2 and right 1 from the y-intercept to plot the next point (1, 2); then down 2 and right 1 for the next point (2, 0).  Since this is strictly less than, and not less than or equal to, we use a dashed line instead of a solid line.

Since this is "less than", this means that we shade the graph under the line.

we have

Using a graphing tool

see the attached figure

the solution is the shaded area below the line

The answer in the attached figure

astronomers is your final answer! : )

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this