Question

abdul has a tree in his backyard. the tree grows 50 centimeters each year. since the tree started growing, abdul has trimmed 24 centimeters off its height. the goal for the trees height is given by 50x - 24≥276, where x is the number of years the tree grows. complete the parts below. (a) solve the given inequality and graph the solution on the number line below.

Explanation:

Step1: Add 24 to both sides

$50x-24 + 24\geq276 + 24$
$50x\geq300$

Step2: Divide both sides by 50

$\frac{50x}{50}\geq\frac{300}{50}$
$x\geq6$

To graph on the number - line: Place a closed circle at 6 (because the inequality is $\geq$) and draw an arrow to the right to represent all values of $x$ that are greater than or equal to 6.

Answer:

The solution of the inequality is $x\geq6$. On the number - line, place a closed circle at 6 and draw an arrow to the right.