Question

question
solve the inequality and graph the solution on the line provided.
$-6 + 7x > 1$
answer attempt 1 out of 2
inequality notation:
number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
click and drag to plot line.
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Explanation:

Step1: Add 6 to both sides

To isolate the term with \( x \), we add 6 to both sides of the inequality \( -6 + 7x > 1 \). This gives us \( -6 + 6 + 7x > 1 + 6 \), which simplifies to \( 7x > 7 \).

Step2: Divide by 7

Next, we divide both sides of the inequality \( 7x > 7 \) by 7. Since 7 is positive, the direction of the inequality sign remains the same. So, \( \frac{7x}{7} > \frac{7}{7} \), which simplifies to \( x > 1 \).

Answer:

Inequality Notation: \( x > 1 \)