Solve the inequality and graph the solution. w/4 –19> – 18 To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
To solve the inequality w/4 – 19 > –18, we can start by adding 19 to both sides of the inequality:
w/4 – 19 + 19 > –18 + 19
w/4 > 1
To isolate w, we can multiply both sides of the inequality by 4:
4(w/4) > 4(1)
w > 4
The solution to the inequality is w > 4.
To graph the solution, we can draw a number line and mark an open circle on the number 4, indicating that it is not included in the solution. Then, we will draw an arrow pointing to the right to represent all the numbers greater than 4.
Here is the graph of the solution:
----o---->
-4 0 4 8 12 16 20 24
Solve the inequality and graph the solution. h 2 –1≤1 To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.
To solve the inequality h^2 - 1 ≤ 1, we can start by adding 1 to both sides of the inequality:
h^2 - 1 + 1 ≤ 1 + 1
h^2 ≤ 2
To solve for h, we can take the square root of both sides (remembering to consider both the positive and negative square roots):
√(h^2) ≤ √(2)
|h| ≤ √(2)
Since we have an absolute value inequality, the solution includes both positive and negative values of h that are less than or equal to the square root of 2.
To graph the solution, we can draw a number line and mark a closed circle on the square root of 2 and its negative value. Then, we will draw arrows towards negative infinity (to the left) and positive infinity (to the right) to represent all the numbers less than or equal to the square root of 2.
Here is the graph of the solution:
<----[====o====]----->
-√(2) 0 √(2)