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QUESTION IMAGE

solve for ( x ) and graph the solution on the number line below. ( 11 <…

Question

solve for ( x ) and graph the solution on the number line below.

( 11 < x + 5 )

answer attempt 1 out of 2

inequality notation:

number line:

Explanation:

Step1: Isolate the variable \(x\)

Subtract \(5\) from both sides of the inequality \(11 < x + 5\).
\(11-5

Step2: Simplify the inequality

\(6 6\)

Answer:

Inequality Notation: \(x>6\)
For the number - line: Place an open circle at \(x = 6\) (because \(6\) is not included in the solution set, since the inequality is \(x>6\)) and draw an arrow to the right of \(6\) towards positive infinity.