Question
what are the steps to solve and graph the solution for this inequality. -3x+5<23
(16 points)
(16 points)
Answers
GPT 3.5
To solve and graph the solution for the inequality -3x + 5 < 23, follow these steps:
Step 1: Subtract 5 from both sides of the inequality:
-3x + 5 - 5 < 23 - 5
-3x < 18
Step 2: Divide both sides of the inequality by -3. Important: When dividing by a negative number, the inequality sign flips.
-3x / -3 > 18 / -3
x > -6
Step 3: The solution to the inequality is x > -6. In terms of graphing, this means that the solution includes all values to the right of -6 on a number line. Draw a number line and mark -6 as a closed circle since it does not fulfill the inequality.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Step 4: Shade all the numbers to the right of the closed circle, representing the solution to the inequality.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
--->
+---
Step 1: Subtract 5 from both sides of the inequality:
-3x + 5 - 5 < 23 - 5
-3x < 18
Step 2: Divide both sides of the inequality by -3. Important: When dividing by a negative number, the inequality sign flips.
-3x / -3 > 18 / -3
x > -6
Step 3: The solution to the inequality is x > -6. In terms of graphing, this means that the solution includes all values to the right of -6 on a number line. Draw a number line and mark -6 as a closed circle since it does not fulfill the inequality.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Step 4: Shade all the numbers to the right of the closed circle, representing the solution to the inequality.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
--->
+---