Solve the inequality and graph the solution on the line provided.minus, 3, x, minus, 62, is greater than or equal to, minus, 47−3x−62≥−47

Sure, let's solve the inequality step by step:

1. Write down the inequality: -3x - 62 ≥ -47
2. Add 62 to both sides to isolate the term with x: -3x ≥ -47 + 62
3. Simplify the right side: -3x ≥ 15
4. Divide both sides by -3 to solve for x. Remember, when you divide by a negative number, the direction of the inequality changes: x ≤ -15/3
5. Simplify the right side: x ≤ -5

So, the solution to the inequality is x ≤ -5.

To graph this solution on a number line:

1. Draw a number line and mark -5 on it.
2. Since the inequality is "less than or equal to", you'll make a closed circle at -5 to indicate that -5 is included in the solution.
3. Draw a line extending to the left from -5, towards smaller numbers, to show that all numbers less than -5 are also solutions.