Question

solve for ( x ) and graph the solution on the number line below. ( 10 + x > 3 ) answer attempt 1 out of 2 inequality notation: blank number line: number line with -12, -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10, 12 submit answer

Explanation:

Step1: Subtract 10 from both sides

To solve for \( x \) in the inequality \( 10 + x > 3 \), we subtract 10 from both sides of the inequality. This is based on the property of inequalities that allows us to add or subtract the same number from both sides without changing the direction of the inequality.
\[
10 + x - 10 > 3 - 10
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( 10 - 10 + x=x \). Simplifying the right - hand side, \( 3-10=-7 \). So we get \( x > - 7 \).

Answer:

Inequality Notation: \( x > - 7 \)

For the number line graph: We draw an open circle at \( - 7 \) (because the inequality is \( > \), not \( \geq \)) and then draw an arrow to the right of \( - 7 \) to represent all the numbers greater than \( - 7 \).