Explain the graph of an equation and graph of an inequality, Mathematics

Assignment Help:

Explain The Graph of an Equation and The Graph of an Inequality ?

Here is the graph of the equation y = x. Notice that for every point along the line shown in the graph, the y-coordinate is equal to the x-coordinate. Any point whose y-coordinate is not equal to its x-coordinate does not lie on the line.

1648_The Graph of an Equation and The Graph of an Inequality.png

Example: the graph of the inequality

Here is the graph of the inequality x>-1. All the points whose x-coordinates is greater than -1 are included the shaded area.
The shaded area is supposed to extend indefinitely to the right, up and down. Obviously, we can't actually show that picture. But we can indicate it by not drawing any boundaries along those edges of the shaded area.

2412_The Graph of an Equation and The Graph of an Inequality 1.png

The edge which does get shown is dotted, to indicate the edge itself is not part of the graph.

You're probably asking: "How did you know where to draw the edge? " Well, think for a moment... you want to graph all the points whose x-coordinate is greater than -1. Some points have x-coordinates greater than -1, some less than, and some equal to. Which points are located on the boundary?

Those with x-coordinates equal to -1. So, the edge of this graph is the line x = -1.


Related Discussions:- Explain the graph of an equation and graph of an inequality

Consumer behavior, explain big 5 ppersonality model, suggest thier target m...

explain big 5 ppersonality model, suggest thier target market and one marketing strategiy for each .

The achievements from math, i love math..but i am afraid to study it... i m...

i love math..but i am afraid to study it... i mean i ma afraid that it may leave me in clay...what can you suggest me?

Statisctics, I would like to know what a symbol in my homework means?

I would like to know what a symbol in my homework means?

Find ad, A circle is inscribed in a triangle ABC having sides 8cm, 10cm and...

A circle is inscribed in a triangle ABC having sides 8cm, 10cm and 12cm as shown in the figure. Find AD, BE and CF.

Find the value of p and q for which the system of equations, Find the value...

Find the value of p and q for which the system of equations represent coincident lines 2x +3y = 7, (p+q+1)x +(p+2q+2)y = 4(p+q)+1 Ans: a 1  = 2, b 1 = 3, c 1 = 7 a 2  =

The distributive law, The Distributive Law :  If you were asked to mentall...

The Distributive Law :  If you were asked to mentally multiply 37 with 9, how would you proceed? 1 would do it as follows - 37 is 30 + 7, 30 x 9 = 270, 7 x 9 = 63, so 270 + 63, th

Rocks and minerals, question..how do u understand thr rock cycle

question..how do u understand thr rock cycle

Determine radicals in exponent form, Evaluate following.               ...

Evaluate following.                √16 and Solution To evaluate these first we will convert them to exponent form and then evaluate that since we already know how to

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd