*
1 point
14x ≤ 100000
b)
Solve this inequality and choose the graph of the solution.
* Make sure to round to the nearest dollar.
Do not include dollar signs in the solution
To solve the inequality 14x ≤ 100000, we divide both sides of the inequality by 14:
x ≤ 100000/14
x ≤ 7142.8571
Rounded to the nearest dollar, x ≤ $7143.
The graph of the solution will be a number line with an open circle at 7143 and a shaded area to the left.
To solve the inequality 14x ≤ 100000, we need to isolate x. Steps to solve the inequality are as follows:
1. Divide both sides of the inequality by 14 to isolate x:
(14x)/14 ≤ 100000/14
x ≤ 7142.8571
2. Round the solution x to the nearest dollar:
x ≈ $7143
Now, let's graph the solution on a number line.
On a number line, mark a closed circle at $7143, indicating that x can be equal to $7143. Then, draw an arrow to the left, indicating that x can be any value less than or equal to $7143.
The graph of the solution is as follows:
----o------------>
$7143
Note: The inequality is written as a less than or equal to (≤) sign, so we include the endpoint on the graph.
To solve the inequality 14x ≤ 100,000, we can divide both sides of the inequality by 14 to isolate x.
14x ≤ 100,000
x ≤ 100,000/14
x ≤ 7,142.86 (rounded to the nearest dollar)
Therefore, the solution to the inequality is x ≤ 7,142. To graph this solution, we can represent it on a number line by shading the region to the left of 7,142, including the point itself.