Solve and Graph: 3x >-6
To solve the inequality 3x > -6, we need to divide both sides of the inequality by 3 to isolate x.
Dividing both sides by 3, we get:
x > -6/3
Simplifying, we have:
x > -2
Therefore, the solution to the inequality is x > -2.
To graph this solution on a number line, we represent -2 with an open circle (since x is greater than -2) and shade to the right.
Here is a graph representing the solution:
<=======o--------->
-2
To solve the inequality 3x > -6, we need to isolate the variable x.
Step 1: Divide both sides of the inequality by 3 to get x alone.
(3x)/3 > (-6)/3
x > -2
So, the solution to the inequality is x > -2.
To graph the solution on a number line, you can draw a number line and mark -2 with an open circle because the inequality is not inclusive of -2. Then, shade to the right of -2 to represent all the values that satisfy the inequality.
Here is a visual representation of the graph:
-----------●================>
-3 -2 -1 0 1 2 ...
The open circle ● represents -2, and the shaded arrow "================>" represents all the values of x that are greater than -2.
To solve the inequality 3x > -6, we need to isolate the variable x.
Step 1: Divide both sides of the inequality by 3:
3x/3 > -6/3
x > -2
So the solution to the inequality is x > -2.
To graph the solution on a number line, we start by marking -2 on the number line with an open circle to indicate that -2 is not included in the solution set. Then draw an arrow to the right to represent all the values greater than -2.
By following these steps, the graph of the inequality 3x > -6 would show an open circle at -2 and an arrow pointing to the right side of the number line.