Solve and graph the solution for this inequality. −3x+5≤23

Step 1:
Step 2:
Step 3:
Step 4:

Add 5 to both sides of the inequality.
Subtract 5 from both sides of the inequality.
Add 3 to both sides of the inequality.
Multiply both sides of the inequality by 5 and change the inequality from less than or equal to to greater than or equal to.
Divide both sides of the inequality by 5.
Draw an open circle at the solution.
Draw a closed circle at the solution.
Shade left to show the solution set.
Shade right to show the solution set.
Divide both sides of the inequality by -3 and change the inequality from less than or equal to to greater than or equal to.
Divide both sides of the inequality by -3.

1 answer

Step 1: Add 5 to both sides of the inequality:

-3x + 5 + 5 ≤ 23 + 5
-3x ≤ 28

Step 2: Divide both sides of the inequality by -3:
-3x/(-3) ≥ 28/(-3)
x ≥ -28/3

Step 3: Write the solution in interval notation:
[-28/3, ∞)

Step 4: Graph the solution on a number line:
Place a closed circle at -28/3 and shade to the right to show the solution set.