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solve for x and graph the solution on the number line below. 18 < 10 + …

Question

solve for x and graph the solution on the number line below. 18 < 10 + x answer attempt 1 out of 2 inequality notation: number line:

Explanation:

Step1: Subtract 10 from both sides

To solve the inequality \(18 < 10 + x\), we subtract 10 from both sides to isolate \(x\).
\[18 - 10 < 10 + x - 10\]

Step2: Simplify both sides

Simplifying the left side gives \(8\) and simplifying the right side gives \(x\). So we have:
\[8 < x\]
Which can also be written as \(x > 8\)

Answer:

Inequality Notation: \(x > 8\)

For the number line: We draw an open circle at \(8\) (since \(x\) is not equal to \(8\)) and draw an arrow pointing to the right (to represent all numbers greater than \(8\)).