Which is an example of system of linear inequalities?.
1 answer:
Example of linear inequalities; y ≤ x – 1 and y < –2x + 1
A combination of linear inequality equations with the same variables is referred to as a system of linear inequalities.
There are five inequality symbols used to represent equations of inequality.
These are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠). Inequalities are used to compare numbers and determine the range or ranges of values that satisfy the conditions of a given variable.
Example of linear inequalities;
Graph the following system of linear inequalities:
y ≤ x – 1 and y < –2x + 1
Graph the first inequality y ≤ x − 1.
We will draw a solid border and shade below the line due to the "less than or equal to" mark.
On the same x-y axis, graph the second inequality, y -2x + 1.
In this instance, the less-than symbol will cause our boundaries to be dashed or dotted. Under the border, cast a shade.
As a result, the darker-colored zone extending indefinitely downward is the solution to this inequality problem, as seen below.
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Answer:
See photo below
Add arrows to the two ends of the parabola.
Step-by-step explanation:
To sketch this quadratic function, we to connect three dots: the two roots and a vertex.
The given roots are -1 and 1.
Draw <u>two dots at the x-intercepts</u>, which are (-1, 0) and (1, 0).
Vertex dot: V (x, y)
The vertex x-coordinate always in the middle of the two roots. The middle of -1 and 1 is 0. That's the same as the y-axis.
V (0, y)
Since the function increases when x < 0, the parabola will <u>open up</u>.
We read from left to right. The greater numbers are towards the top of the page.
<u>You can put the vertex anywhere on the y-axis that is below the x-axis.</u>
