Solve and graph the solution for this inequality.
−3x+5≤23
step 1:
step 2:
step 3:
step 4:
options:
1. add 5 to both sides of the inequality
2. subtract 5 from both sides of the inequality
3. add 3 to both sides of the inequality
4. multiply both sides of the inequality by 5 and change the inequality from less than or equal to to greater than or equal to
5. divide both sides of the inequality by 5
6. Draw an open circle at the solution
7. Draw a closed circle at the solution
8. Sade left to show the solution set
9. shade right to show the solution set
10. Divide both sides of the inequality by -3 and change the inequality from less than or equal to to greater than or equal to
11. Divide both sides of the inequality by -3
step 1:
Subtract 5 from both sides of the inequality: -3x ≤ 18
step 2:
Divide both sides of the inequality by -3: x ≥ -6
step 3:
Graph the solution on a number line. Since the inequality is "greater than or equal to," we use a closed circle at -6 and shade to the right to represent the solution set.
step 4:
Option 7: Draw a closed circle at the solution set.
The solution to the inequality -3x + 5 ≤ 23 is x ≥ -6 and it can be graphed as follows:
|------------------o-->
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10