Question

solve for ( x ) and graph the solution on the number line below.
( 6x > 60 )
answer attempt 1 out of 2
inequality notation:
number line:
(number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12 marked)

Explanation:

Step1: Divide both sides by 6

To solve the inequality \(6x > 60\), we divide both sides by 6 (since 6 is positive, the inequality sign remains the same). So we have \(\frac{6x}{6} > \frac{60}{6}\).

Step2: Simplify both sides

Simplifying the left side gives \(x\) and simplifying the right side gives \(10\). So the solution is \(x > 10\).

Answer:

Inequality Notation: \(x > 10\)

For the number line: We draw an open circle at \(10\) (because the inequality is \(>\) not \(\geq\)) and shade the region to the right of \(10\) to represent all values of \(x\) greater than \(10\).