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Find the solution set for the inequality 8x + 1 ≤ 5.
Find the solution set for the inequality 8x + 1 ≤ 5.
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Practice Questions
1 question
Q1
Find the solution set for the inequality 8x + 1 ≤ 5.
x ≤ 0.5
x < 0.5
x ≥ 0.5
x > 0.5
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8x + 1 ≤ 5 => 8x ≤ 4 => x ≤ 0.5.
Questions & Step-by-step Solutions
1 item
Q
Q: Find the solution set for the inequality 8x + 1 ≤ 5.
Solution:
8x + 1 ≤ 5 => 8x ≤ 4 => x ≤ 0.5.
Steps: 6
Show Steps
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.
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