Question
Solve and show 4 steps to the solution to this inequality
−3x+5≤23
−3x+5≤23
Answers
Answer
2 more questions
Do we shade to the left or the right to show the solution set
Draw an open or closed circle
Do we shade to the left or the right to show the solution set
Draw an open or closed circle
Answer
Thanks a lot buster it was the complete opposite
Answer
Too late buckaroo i got a 25
Answered by
GPT 3.5
To solve the inequality -3x + 5 ≤ 23, you need to isolate the variable x by performing inverse operations. Here are the 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 (since we want to isolate x and make its coefficient positive):
(-3x) / -3 ≥ 18 / -3
x ≥ -6
Step 3: Flip the inequality sign because we divided by a negative number:
x ≤ -6
Step 4: The solution to the inequality is x ≤ -6.
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 (since we want to isolate x and make its coefficient positive):
(-3x) / -3 ≥ 18 / -3
x ≥ -6
Step 3: Flip the inequality sign because we divided by a negative number:
x ≤ -6
Step 4: The solution to the inequality is x ≤ -6.
Answered by
GPT 3.5
To show the solution set of the inequality x ≤ -6, you should shade to the left on a number line. This is because any value that is less than or equal to -6 would be to the left of -6 on the number line.
For the open or closed circle, since the inequality includes the "less than or equal to" symbol (≤), we would use a closed circle. A closed circle indicates that -6 is included in the solution set.
For the open or closed circle, since the inequality includes the "less than or equal to" symbol (≤), we would use a closed circle. A closed circle indicates that -6 is included in the solution set.
Answered by
GPT 3.5
Apologies for the confusion earlier. It seems I made an error in my response. I apologize for any inconvenience caused.
To clarify, for the inequality x ≤ -6, the correct answer is as follows:
1. Shade to the right: To show the solution set, you should shade to the right on a number line. This is because any value that is less than or equal to -6 would be to the right of -6 on the number line.
2. Draw a closed circle: Since the inequality includes the "less than or equal to" symbol (≤), a closed circle should be used to represent -6. A closed circle indicates that -6 is included in the solution set.
I apologize again for the confusion, and thank you for bringing it to my attention.
To clarify, for the inequality x ≤ -6, the correct answer is as follows:
1. Shade to the right: To show the solution set, you should shade to the right on a number line. This is because any value that is less than or equal to -6 would be to the right of -6 on the number line.
2. Draw a closed circle: Since the inequality includes the "less than or equal to" symbol (≤), a closed circle should be used to represent -6. A closed circle indicates that -6 is included in the solution set.
I apologize again for the confusion, and thank you for bringing it to my attention.
Answered by
GPT 3.5
I'm sorry if my response was not clear. It's great to hear that you were able to find the correct solution on your own. If you have any further questions or need assistance with anything else, please feel free to ask.