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The graph of an inequality is a region, not a line.

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Q: Which inequality symbols are represented by a solid line on a graph?
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How would you know if the endpoint of the graph of an inequality should be a solid dot or open dot?

If the inequality includes 'or equal' then use a solid dot [the value is included]. If it doesn't use 'or equal' then use the open dot.

When will the graph of an equation inequality be a dotted line?

The line is dotted when the inequality is a strict inequality, ie it is either "less than" (<) or "greater than" (>). If there is an equality in the inequality, ie "less than or equal to" (≤), "greater than or equal to" (≥) or "equal to" (=) then the line is drawn as a solid line.

To graph the inequality is y less than or equal to negative 5x plus 3 you would draw a solid line?


When graphing an inequality with the symbol less than or equal to what is drawn?

if you have y <= f(x), then graph the function y = f(x) with a solid line, then shade everything below that graph.

How do you solve the inequality and graph a solution?

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....

What is the equal to or greater then symbol on a graph?

If the graph is a two-dimensional plane and you are graphing an inequality, the "greater than or equal to" part will be shown by two things: (1) a solid, not a dotted, line--this part signifies the "or equal to" option--and (2) which region you shade. Shade the region that contains the points that make the inequality true. By shading that region, you are demonstrating the "greater than" part.

Explain when to use a solid line as a boundary when graphing a linear inequality?

If the points that are ON the line satisfy the inequality then the line should be solid. Otherwise it should be dotted. Another way of putting that is, if the inequality is given in terms of ≤ or ≥, then use a solid line. If they are < or > use a dotted line.

How do you shade the region represented by x smaller than or equal to -1?

In a plane, it is the area to the left of the vertical line through x = -1. Since it is not a strict inequality, the line should be drawn solid (not dashed or dotted).

When to use a solid line as a boundary when graphing a linear inequality?

If it is <= or >=

What symbols show a national border a national capital and a city?

A national border can be represented by a dashed line or a solid line with different colors on each side. A national capital can be represented by a star symbol or simply by the name of the city with a star next to it. A city can be represented by a circle or a dot on a map, often labeled with the city's name.

How do write the Slope-intercept inequality for a graph?

First, write the equation of the line of the graph. Next, if the line is solid, it means equal to. If it is dotted: not equal to. Lastly, the shaded portion of a graph is where the points satisfy the equation. So pick a point in the shaded region, plug it in, and put the appropriate larger than, or less than sign to make the statement true. EX: plug in (3,1) to y _ 3x+1 1 _ 10, then 1 < 10 So, y < 3x + 1 (add [or equal to] if the line is solid)

A metal stays solid at Fahrenheit temperatures below 1647.3 Determine in terms of an inequality those Celsius temperatures for which the metal stays solid Use the formula?

A metal stays solid at Fahrenheit temperatures below 1647.3. Determine in terms of an inequality those Celsius temperatures for which the metal stays solid. Use the formula?