If the line is undefined in a graphed inequality, it typically represents a vertical line, which corresponds to a vertical inequality such as ( x = a ). In this case, the inequality can be written as ( x < a ) or ( x > a ). The graph will shade to the left or right of the line, indicating the region that satisfies the inequality. Since the line itself is not included in the inequality, it is often represented with a dashed line.
To graph the inequality ( x < 3 ), you would start by drawing a vertical dashed line at ( x = 3 ). The dashed line indicates that points on the line are not included in the solution. Next, shade the region to the left of the line, which represents all values of ( x ) that are less than 3. This shaded area shows the solution set for the inequality.
The graph of the inequality ( x < 4.5 ) is a vertical line drawn at ( x = 4.5 ), with a dashed line indicating that the line itself is not included in the solution set. The region to the left of this line represents all the values of ( x ) that satisfy the inequality. Therefore, the area shaded will extend infinitely to the left, indicating that all ( x ) values less than 4.5 are solutions.
The shaded area of the graph of an inequality show the solution to the inequality. For example, if the area below y = x is shaded it is showing those ordered pairs which solve y < x.
Very Carefully :)
22
If the line is undefined in a graphed inequality, it typically represents a vertical line, which corresponds to a vertical inequality such as ( x = a ). In this case, the inequality can be written as ( x < a ) or ( x > a ). The graph will shade to the left or right of the line, indicating the region that satisfies the inequality. Since the line itself is not included in the inequality, it is often represented with a dashed line.
To graph the inequality ( x < 3 ), you would start by drawing a vertical dashed line at ( x = 3 ). The dashed line indicates that points on the line are not included in the solution. Next, shade the region to the left of the line, which represents all values of ( x ) that are less than 3. This shaded area shows the solution set for the inequality.
The graph of the inequality ( x < 4.5 ) is a vertical line drawn at ( x = 4.5 ), with a dashed line indicating that the line itself is not included in the solution set. The region to the left of this line represents all the values of ( x ) that satisfy the inequality. Therefore, the area shaded will extend infinitely to the left, indicating that all ( x ) values less than 4.5 are solutions.
The shaded area of the graph of an inequality show the solution to the inequality. For example, if the area below y = x is shaded it is showing those ordered pairs which solve y < x.
Very Carefully :)
8
If the graph shows no solutions, it typically indicates that the inequality is contradictory or that there are no values that satisfy the condition. This could represent an inequality such as ( x < x ) or ( x > x ), which is impossible. Therefore, the solution set is empty, often denoted as ( \varnothing ) or ( { } ).
the x-axies
"y - x + 1" is not an inequality. It is a simple expression. If you want something like "y - x + 1 > 0" that would be an inequality. Rephrase and resubmit.
Through signs of inequality Solve each inequality Graph the solution? 2(m-3)+7<21 4(n-2)-6>18 9(x+2)>9(-3)
The graph of is shifted 3 units down and 2 units right. Which equation represents the new graph?