Solving System of Inequalities Examples and Word Problems with Graph Solutions

High School
Algebra
Algebra I
Inequalities systems and graphs

Recent questions in Inequalities systems and graphs

Damion Hardin 2022-04-10

How does one prove $d (x, z) \leq d (x, y) + d (y, z)$ for $d (x, y) = | x - y |$ given $x, y, z \in R ?$

Adelyn Rodriguez 2022-04-10

I have a problem on the form: find $x \in R^{n}, y \in R^{m}$ such that:
$A x \geq a$
$B y \geq b$
$f (x) \geq 0$
$f_{i} (x) \cdot y_{j} = 0$
$x_{i}, y_{j} \geq 0$
In the later A and B are matrices, $a \in R^{n}, b \in R^{m}$ , $f = (f_{1} \dots f_{n})$ is a linear vectorial function of $x$ and $x = (x_{1} \dots x_{n})$ , $y = (y_{1} \dots y_{m})$
There is a solver or a method that could solve that kind of inequalities?

Derick Richard 2022-04-10

Inconsistent system of linear inequalities.
${x + y - t \geq 1, - x + 2 y + z \geq 1, - 3 y - z + t \geq 0}$
By Fourier's method, I have eliminated the variables x and z and I have arrived to the following inequality: $y - t \leq - 1$ . I do not see why this inequality should imply that the system is inconsistent. I do not know what I am doing wrong.

adam sayyad2022-03-29

Missy Lee2022-03-25

Graph the solution set of each given system of linear inequalities.

x < 1
2x + y ≤ 4

killjoy1990xb9 2022-01-07

Use the given graph off to find a number $δ$ such that if $| x - 1 | < δ$ then $| f (x) - 1 | < 0.2$

hvacwk 2021-12-19

Graph equation.
$2 x - 3 y = 6$

yogi55hr 2021-12-03

Solve $(x + 1) (x - 3) > 0$ .

defazajx 2021-08-17

5y=160+9x
Find the slope of the line.

bobbie71G 2021-08-15

Suggest a coordinate plane located at W(-3,5) and Z(1,1) with $\overset{―}{W Z} . \overset{―}{W Z}$ becomes $\overset{―}{W^{'} Z^{'}}$ , where W'(-12,20) and Z'(4,4), under a dilation centered at the origin. What is this dilation's scale factor?

he298c 2021-08-12

Find the slope and y-intercept of the line. Graph the line $5 x + y = 5$

Josalynn 2021-06-21

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

geduiwelh 2021-05-27

Find an equation in slope-intercept form of the line passing through $(3, - 4)$ with x-intercer equal to 7

a2linetagadaW 2021-05-16

Graph the function rule. Explain why the graph is continuous or discrete. Graph $y = - | x | + 2 y = - ∣ x ∣ + 2$

York 2021-03-09

The given inequalities are as follows.
y<3x
y>x−2

DofotheroU 2021-03-07

Graph the feasible region for the system of inequalities
$y > 4 x - 1$
$y \leftarrow 2 x + 3$

Jason Farmer 2021-03-05

Graph the solution set of the inequality or system of inequalities.
${\begin{matrix} x \geq 0 and y \geq 0 \\ 3 x + y \leq 9 \\ 2 x + 3 y \geq 6 \end{matrix}$

generals336 2021-02-25

Graph the solution set for the system of linear inequalities
$x > - 3$
$y \geq - 4$

Alyce Wilkinson 2021-02-25

Consider the following system of linear inequalities.
$3 x + 4 y \leq 12$
$4 x + 3 y \leq 12$
$x \geq 0$
$y \geq 0$
graph, shade and find corner points.

BolkowN 2021-02-15

Find the coordinates for the vertices of the figure created by the given inequality system.
$f (x) {\begin{matrix} y \geq - 4 \\ y \leq 2 x + 2 \\ 2 x + y \leq 6 \end{matrix}$

If you are looking for an inequality and graph solution for your Engineering course, the best thing you can do is have a look at various examples that provide answers to the most common questions. While the system of inequalities will follow the same pattern in most cases, your original instructions may differ a little bit, which is why it is vital to see more than one example to see every important aspect. As you seek help, these examples will make things clearer.

Algebra I

Solving System of Inequalities with Examples