The point of intersection on the graph of a system of equations represents the solution to the system, indicating the values of the variables that satisfy all equations simultaneously. In a two-variable system, it shows where the two lines (or curves) cross, meaning both equations yield the same output for those specific input values. If the lines intersect at a single point, there is one unique solution; if they coincide, there are infinitely many solutions; and if they are parallel, there is no solution.
THere is no solution
No Solution!
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 ( { } ).
To graph the solution to the inequality (-3x - 720 < 0), you first need to solve for (x). Rearranging the inequality gives (x > -240). On the graph, this means you would draw a number line, shade to the right of (-240), and place an open circle at (-240) to indicate that (-240) is not included in the solution.
The point of intersection on the graph of a system of equations represents the solution to the system, indicating the values of the variables that satisfy all equations simultaneously. In a two-variable system, it shows where the two lines (or curves) cross, meaning both equations yield the same output for those specific input values. If the lines intersect at a single point, there is one unique solution; if they coincide, there are infinitely many solutions; and if they are parallel, there is no solution.
3
THere is no solution
No Solution!
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 ( { } ).
To graph the solution to the inequality (-3x - 720 < 0), you first need to solve for (x). Rearranging the inequality gives (x > -240). On the graph, this means you would draw a number line, shade to the right of (-240), and place an open circle at (-240) to indicate that (-240) is not included in the solution.
a pie graph shows percentages and a bar graph shows numbers and amounts
A pie graph shows parts of a whole
a graph law graph shows the relationship between pressure and volume
Every graph shows comparisons of some kind or another.
A line graph shows a trend over time.
a graph that shows the data.