Solving and Graphing a Linear Inequality
Published:
Solve the inequality and graph the solution. $-4(b + 7) - 3 \geq 1$ Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.
This question includes visual content: A digital interactive interface displaying a horizontal number line with markers at even integers from -10 to 10. A mouse cursor is currently positioned over the number 2 on the number line, acting as an interactive tool for the user to plot the solution to the inequality.
Animated Video Solution
The first half plays free, the full solution is in the app.
Step by Step Written Solution
In this problem, we need to solve the inequality negative four times the sum of b and seven, minus three, is greater than or equal to one, and then graph the solution on a number line.
Solve the Inequality
Our first step is to isolate the term with the parentheses. Let's add three to both sides of the inequality to eliminate the negative three from the left.
One plus three simplifies to four.
Now, we need to divide both sides by negative four. Remember the golden rule for inequalities: whenever you multiply or divide by a negative number, you must flip the inequality sign.
Four divided by negative four is negative one. Notice the sign changed from greater-than-or-equal-to, to less-than-or-equal-to.
The rest of this solution is on Solvi
5 more steps are locked. Watch the full animated, narrated solution for free.
Snap a photo, solve any question like this.
Watch the Rest for Free
Free to download · First solutions are on us
