Question
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Tutor-Verified Answer
Answer
\( x \leq 2 \)
Solution
Solve the equation \( 4x-1\leq 7 \).
Solve the inequality by following steps:
- step0: Solve for \(x\):
\(4x-1\leq 7\)
- step1: Move the constant to the right side:
\(4x\leq 7+1\)
- step2: Add the numbers:
\(4x\leq 8\)
- step3: Divide both sides:
\(\frac{4x}{4}\leq \frac{8}{4}\)
- step4: Divide the numbers:
\(x\leq 2\)
The solution to the inequality \(4x-1\leq 7\) is \(x\leq 2\).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve the inequality \(4x - 1 \leq 7\), first, add 1 to both sides to eliminate the constant term on the left. This gives you \(4x \leq 8\). Next, divide both sides by 4, resulting in \(x \leq 2\). So the solution is \(x\) can take any value less than or equal to 2. Isn’t it satisfying when the math just clicks into place? If you ever get stuck with inequalities, a common mistake is forgetting to flip the inequality sign when multiplying or dividing by a negative number. This can lead you to the wrong solution, so always keep that in mind as you work through your math problems!
