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UTA Software Infinite Algebra 1Name Graphing Linear InequalitiesDate Period Sketch the graph of each linear inequality. 1) y 2) y × y × × x

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How to fill out graphing linear inequalitiesks-ia1

How to fill out graphing linear inequalitiesks-ia1:

01

Start by identifying the given linear inequality. Determine whether it is in slope-intercept form (y = mx + b) or standard form (Ax + By = C). If it is not in slope-intercept form, rearrange the equation to obtain the slope-intercept form.

02

Next, identify the slope (m) and y-intercept (b) of the linear inequality. This information will help you plot the line on the coordinate plane.

03

Plot the y-intercept point on the y-axis. Use an open circle if the inequality symbol is less than or greater than, and a closed circle if the inequality symbol is less than or equal to or greater than or equal to.

04

Determine the slope by using the slope (m) value of the linear inequality. If the slope is positive, move up and to the right from the y-intercept point to plot additional points on the line. If the slope is negative, move down and to the left.

05

If the inequality symbol is less than or greater than, draw a dashed line to represent the boundary of the solution. If the inequality symbol is less than or equal to or greater than or equal to, draw a solid line instead.

06

To determine the region of the coordinate plane that satisfies the inequality, choose a test point that is not on the line. Substitute its coordinates into the inequality to see if the statement is true. If it is true, shade the region containing the test point. If it is false, shade the other region.

Who needs graphing linear inequalitiesks-ia1:

01

Students studying algebra or linear equations in math classes.

02

Professionals working in fields such as economics, engineering, or physics that require analyzing and visualizing linear inequalities.

03

Anyone interested in understanding and solving real-life problems that involve inequalities, such as optimizing resources or budgeting.

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