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solve for x and graph the solution on the number line below. 2 < x + 5 …

Question

solve for x and graph the solution on the number line below.
2 < x + 5
answer attempt 1 out of 2
< > ≤ ≥ or
inequality notation:
number line:
submit answer

Explanation:

Step1: Isolate the variable

Subtract 5 from both sides of the inequality \(2 < x + 5\).
\(2-5

Step2: Simplify the expressions

Calculate \(2 - 5=-3\) and \(x+5 - 5=x\). So, \(-3 - 3\)

Answer:

Inequality Notation: \(x>-3\)

To graph on the number - line:

  • Place an open circle at \(x = - 3\) (because the inequality is \(>\), not \(\geq\)).
  • Draw an arrow to the right of \(x=-3\) to represent all values of \(x\) greater than \(-3\).