Find the solution set for the inequality 8x + 1 ≤ 5.

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Question: Find the solution set for the inequality 8x + 1 ≤ 5.

Options:

Correct Answer: x ≤ 0.5

Solution:

8x + 1 ≤ 5 => 8x ≤ 4 => x ≤ 0.5.

Find the solution set for the inequality 8x + 1 ≤ 5.

Find the solution set for the inequality 8x + 1 ≤ 5.

Correct Answer: x ≤ 0.5

Step 1: Start with the inequality 8x + 1 ≤ 5.
Step 2: To isolate the term with x, subtract 1 from both sides of the inequality. This gives you 8x ≤ 5 - 1.
Step 3: Simplify the right side. 5 - 1 equals 4, so now you have 8x ≤ 4.
Step 4: Next, divide both sides of the inequality by 8 to solve for x. This gives you x ≤ 4 / 8.
Step 5: Simplify 4 / 8. This equals 0.5, so now you have x ≤ 0.5.
Step 6: The solution set is all values of x that are less than or equal to 0.5.

Linear Inequalities – Understanding how to manipulate and solve linear inequalities.
Isolating Variables – The process of isolating the variable on one side of the inequality.