Question

solve for x and graph the solution on the number line below.
11 < x + 5
answer attempt 1 out of 3
< > ≤ ≥ or
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

Simplify both sides. \(11 - 5=6\) and \(x+5 - 5=x\). So we get \(6 < x\), which is equivalent to \(x>6\).

Answer:

Inequality Notation: \(x > 6\)

To graph \(x>6\) on the number - line:

• Draw an open circle at \(x = 6\) (because \(6\) is not included in the solution set, since the inequality is strict, \(x>6\) not \(x\geq6\)).
• Draw an arrow to the right of \(6\) to represent all the numbers greater than \(6\).