Solve the inequality and graph the solution on the line provided.minus, 6, plus, 8, x, is less than or equal to, 34−6+8x≤34

Step 1: Write down the inequality -6 + 8x ≤ 34

Step 2: Simplify the inequality by isolating the variable on one side. Start by adding 6 to both sides to cancel out the -6 on the left side. -6 + 8x + 6 ≤ 34 + 6 This simplifies to: 8x ≤ 40

Step 3: Divide both sides by 8 to solve for x. 8x / 8 ≤ 40 / 8 This simplifies to: x ≤ 5

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

To graph this solution on a number line:

Step 1: Draw a number line and mark the point that corresponds to 5.

Step 2: Since the inequality is "less than or equal to", you should draw a closed circle at 5 to indicate that 5 is included in the solution.

Step 3: Draw a line extending to the left from the point 5, towards smaller numbers, to indicate that all numbers less than 5 are also part of the solution.