What is a solution set on a number line?
What is a solution set on a number line?
A solution set is the set of values which satisfy a given inequality. It means, each and every value in the solution set will satisfy the inequality and no other value will satisfy the inequality. Example: Solve 2x + 3 ≤ 7, where x is a natural number.
How do you find the solution set?
To find the solution set from the replacement set, plug in each value from the replacement set and evaluate both sides of the equation. If the two sides are equal, the equation is true and thus the value is a solution.
How do you find the solution set on a graph?
To represent the solution set of a linear equation, y = mx + b, we graph the equation using the following steps:
- Find two or more points that satisfy the equation.
- Plot those points on a graph.
- Connect the points in a straight line.
Where is the solution set on a graph?
The equation of the boundary line is y = x , which is found by replacing the inequality symbol with an equals sign. The solution set for the inequality is the half-plane including and above the line. In the same way, the graph of the solution set for y x is the half-plane including and below this same line.
How do you write a solution set for a graph?
How will you graph the solution of an inequality?
Determine whether you have a quadratic inequality.
Which inequality represents the solution shown on the graph?
The graph of the inequality is shown in below. The line divides the plane into two regions. The shaded side shows the solutions to the inequality . The points on the boundary line, those where , are not solutions to the inequality , so the line itself is not part of the solution. We show that by making the line dashed, not solid.
How do you write an inequality on a graph?
– Locate the y-intercept on the graph and plot the point. – From this point, use the slope to find a second point and plot it. – Draw the line that connects the two points.
How do you graph no solution on a number line?
Construct a set of rectangular axes showing the scale and the variable repre- sented by each axis.