Question

ivanna is pumping water into a tank at a rate of 18 liters per minute. since she started pumping water, 10 liters has splashed out of the tank. her goal is given by 18x - 10 < 62, where x is the number of minutes she pumps water into the tank. complete the parts below. (a) solve the given inequality and graph the solution on the number line below.

Explanation:

Step1: Add 10 to both sides

$18x- 10+10<62 + 10$
$18x<72$

Step2: Divide both sides by 18

$\frac{18x}{18}<\frac{72}{18}$
$x < 4$

To graph on the number - line:

1. Draw a number line.
2. Place an open circle at 4 (because the inequality is $x < 4$, not $x\leqslant4$).
3. Shade the line to the left of 4 to represent all the values of $x$ that satisfy the inequality.

Answer:

The solution of the inequality is $x < 4$. On the number - line, place an open circle at 4 and shade to the left.