Graph inequalities -2x>18
-2x > 18
x < -9
draw a dotted vertical line at x = -9
shade in the region to the left of that line
To graph the inequality -2x > 18, we need to first rewrite it in slope-intercept form (y = mx + b). However, since it is a one-variable inequality, we will rewrite it as x < c to find the range of x-values that satisfy the inequality.
Let's start by isolating x:
-2x > 18
Divide both sides by -2, remembering that when dividing by a negative number, the direction of the inequality changes:
x < 18 / -2
Simplifying:
x < -9
Now that we have the inequality in the form x < c, we can graph it on a number line.
Draw a number line and mark -9 on it. Since the inequality is "x < -9," we will use an open circle at -9 to indicate that -9 is not included in the solution.
Finally, shade the region to the left of the open circle to represent all the values of x that are less than -9. This indicates the solution to the original inequality.
The resulting graph will have an open circle at -9 and be shaded to the left of that point.