Question

solve $\frac{w}{2}+4 > 5$. the solution is . graph the solution.

Explanation:

Step1: Isolate the fraction

Subtract 4 from both sides of the inequality $\frac{w}{2}+4 > 5$.
$\frac{w}{2}+4 - 4>5 - 4$
$\frac{w}{2}>1$

Step2: Solve for w

Multiply both sides of the inequality $\frac{w}{2}>1$ by 2.
$2\times\frac{w}{2}>2\times1$
$w > 2$

Answer:

$w>2$
To graph the solution: On the number - line, we use an open circle at 2 (because 2 is not included in the solution set, since the inequality is $w>2$) and draw an arrow to the right to represent all the numbers greater than 2.