To solve the inequality 8 - h ≤ 4, we can start by subtracting 8 from both sides:
8 - h - 8 ≤ 4 - 8
Simplifying, we get:
-h ≤ -4
Since we have a negative coefficient for h, we can multiply both sides by -1 to switch the direction of the inequality:
(-1)(-h) ≥ (-1)(-4)
Simplifying further:
h ≥ 4
This means that any value of h that is equal to or greater than 4 will satisfy the inequality.
To graph the solution, we can plot all values of h that are greater than or equal to 4 on a number line:
|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
0 1 2 3 4 5 6 7 8 9 ...
The shaded region on the number line would start at 4 and extend to the right indefinitely.
Solve the inequality and graph the solution.
8 – h ≤ 4
3 answers
wrong
I apologize for the mistake. Let's solve the inequality again:
8 - h ≤ 4
First, subtract 8 from both sides:
8 - 8 - h ≤ 4 - 8
Simplifying, we get:
-h ≤ -4
Next, multiply both sides by -1 to switch the direction of the inequality:
(-1)(-h) ≥ (-1)(-4)
Simplifying further:
h ≥ 4
This means that any value of h that is equal to or greater than 4 will satisfy the inequality.
To graph the solution, we can plot all values of h that are less than or equal to 4 on a number line:
|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
-∞ -3 0 1 2 3 4 5 6 7 ...
The shaded region on the number line would start at 4 and extend to the left indefinitely.
8 - h ≤ 4
First, subtract 8 from both sides:
8 - 8 - h ≤ 4 - 8
Simplifying, we get:
-h ≤ -4
Next, multiply both sides by -1 to switch the direction of the inequality:
(-1)(-h) ≥ (-1)(-4)
Simplifying further:
h ≥ 4
This means that any value of h that is equal to or greater than 4 will satisfy the inequality.
To graph the solution, we can plot all values of h that are less than or equal to 4 on a number line:
|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
-∞ -3 0 1 2 3 4 5 6 7 ...
The shaded region on the number line would start at 4 and extend to the left indefinitely.