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:

submit answer

Explanation:

Step1: Isolate the variable \(x\)

Subtract \(10\) from both sides of the inequality \(18 < 10 + x\).
$$18-10<10 + x-10$$

Step2: Simplify the inequality

Simplify the left - hand side \(18 - 10=8\) and the right - hand side \(10 + x-10=x\).
So, \(8 < x\), which can be rewritten as \(x>8\).

Answer:

Inequality Notation: \(x > 8\)

For the number line: Place an open circle at \(8\) (because \(8\) is not included in the solution, since the inequality is \(x>8\)) and draw an arrow to the right of \(8\) to represent all the numbers greater than \(8\).