-9/8x greater than or equal to -1/16
can someone please check my answer?
my answer is
x greather than or equal to 1/18
is this correct? if not what is the correct answer and what is the correct way to solve this problem..maybe I missed a step or did not do math correctly....
-9.9 is less than or grater than 1.4
No.
-9/8x>=-1/16
-9>=-x/2
-18>=-x
multiply by -1
18<=x
another way:
-9/8x>=-1/16 watch this...
-8x/9<=-16
-x<=-18
x>=18
thank you bob I appreciated the help
To solve the inequality -9/8x ≥ -1/16, we need to isolate the variable x.
First, let's start by multiplying both sides of the inequality by -8 to eliminate the fraction:
-8 * (-9/8x) ≥ -8 * (-1/16)
The left side simplifies to:
9x ≥ 1/2
Now, to isolate x, we need to divide both sides of the inequality by 9:
(9x)/9 ≥ (1/2)/9
x ≥ 1/18
So your answer, x ≥ 1/18, is correct!
You can also think of the steps as follows:
1. Multiply both sides by -8 to eliminate the fraction.
2. Simplify both sides.
3. Divide both sides by 9 to isolate x.
4. Simplify the right side.
Keep in mind that when you multiply or divide both sides of an inequality by a negative number, the inequality sign flips. Since we multiplied both sides by -8, we flipped the inequality sign from "greater than or equal to" (≥) to "less than or equal to" (≤). But since we obtained x ≥ 1/18, the original inequality remains unchanged.