A dashed/dotted line if it is > or <. Otherwise use a regular line. Also shading is required.
Line chart
Gay
you would use a line graph
I think you would use an average two step equation to solve. Graph on a number line. If it was -2, go over 2 to the left, and make a dot. It is hollow or solid. It is solid if there is a line beneath the less than or greater than sign indicating that it is equal to....
A line graph
line graph
Line graph
To graph a solution to an inequality, first, identify the boundary line or curve by solving the corresponding equation. Use a dashed line for "<" or ">" to indicate that points on the line are not included, and a solid line for "≤" or "≥" to show that points on the line are included. Next, determine which side of the line represents the solution by testing a point (often (0,0) if it's not on the line). Finally, shade the appropriate region to indicate all the solutions to the inequality.
a line graph
To write the inequality represented by a graph, first identify the boundary line, which can be solid (indicating '≤' or '≥') or dashed (indicating '<' or '>'). Determine which side of the line is shaded, as this indicates the solution set. Use a test point, often the origin (0,0), to confirm whether it satisfies the inequality. Finally, combine this information to express the inequality in standard form.
To graph linear inequalities, you first identify the boundary line by rewriting the inequality in slope-intercept form (y = mx + b) and plotting the corresponding linear equation. If the inequality is strict (e.g., < or >), you use a dashed line to indicate that points on the line are not included. For non-strict inequalities (e.g., ≤ or ≥), a solid line is used. Finally, you shade the appropriate region of the graph to represent the solutions that satisfy the inequality, based on whether the inequality is greater than or less than.
To determine whether to use a solid or dotted line for a given inequality, check if the inequality includes equal to (≥ or ≤) or not (>) or (<). If it includes equal to, use a solid line; if not, use a dotted line. For the solution area, if the inequality is greater than (>) or greater than or equal to (≥), the solution lies above the line; for less than (<) or less than or equal to (≤), it lies below the line.
Take a sample point from either the top or bottom of the graph. I like to use (0,0) if it is not on the line. Substitute it into the inequality and if it is true then it represents all points on that line as true and vice versa.
Line chart
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line graph
To solve an inequality, isolate the variable on one side by performing inverse operations, similar to solving an equation. For example, if you have (2x + 3 < 7), subtract 3 from both sides and then divide by 2 to find (x < 2). To graph the inequality on a number line, use an open circle for "<" or ">" to indicate that the endpoint is not included, or a closed circle for "≤" or "≥" to indicate inclusion. Shade the region of the number line that satisfies the inequality, extending in the appropriate direction.