Is that h divided by 4 greater than negative 7.
h/4>-7 = h>-7*4
h>-28
don't need to change the inequality sign unless dividing or multiplying be a negative number
Solve each inequality and check your solution.
h
- > -7
4
(bumping)
h/4>-7 = h>-7*4
h>-28
don't need to change the inequality sign unless dividing or multiplying be a negative number
Step 1: Multiply both sides of the inequality by 4 to eliminate the fraction. This is allowed as long as you apply the same operation to both sides.
(h/4) * 4 > (-7) * 4
Simplifying, we have:
h > -28
Therefore, the solution to the inequality is h > -28.
To check the solution, you can substitute any value greater than -28 for h and see if it satisfies the inequality. For example, if we take h = -27, we have:
(-27)/4 > -7
-6.75 > -7
Since -6.75 is greater than -7, the solution h > -28 holds true.
The given inequality is \( \frac{h}{4} > -7 \). To solve it, we can follow these steps:
1. Multiply both sides of the inequality by 4 to eliminate the fraction:
\( 4 \cdot \frac{h}{4} > -7 \cdot 4 \)
Simplifying: \( h > -28 \)
So the solution to the inequality is \( h > -28 \).
To check the solution, you can substitute a few values into the original inequality and see if they make the inequality true. For example, let's try \( h = -27 \).
When we substitute \( h = -27 \) into the inequality, we get:
\( \frac{-27}{4} > -7 \)
By dividing -27 by 4, we get -6.75.
Therefore, the inequality \( \frac{-27}{4} > -7 \) is true, indicating that \( h = -27 \) is a valid solution.
You can try checking some other values as well to further confirm the solution.