Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality. 6x - 1 ≤ 11 x ≤ ?

Question

solve the inequality.
6x - 1 ≤ 11
x ≤ ?

Explanation:

Step1: Add 1 to both sides

To isolate the term with \( x \), we add 1 to both sides of the inequality \( 6x - 1 \leq 11 \). This gives us \( 6x - 1 + 1 \leq 11 + 1 \), which simplifies to \( 6x \leq 12 \).

Step2: Divide both sides by 6

To solve for \( x \), we divide both sides of the inequality \( 6x \leq 12 \) by 6. So, \( \frac{6x}{6} \leq \frac{12}{6} \), which simplifies to \( x \leq 2 \).

Answer:

\( x \leq 2 \)