Solve 5x/9<8 . Write the improper fraction in your answer as a mixed number. Make sure to write your inequality so that x comes first. Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard.
To solve the inequality 5x/9 < 8, we can start by multiplying both sides of the inequality by 9 to eliminate the fraction:
5x/9 < 8
(9)(5x/9) < (9)(8)
5x < 72
Next, we can isolate x by dividing both sides of the inequality by 5:
5x/5 < 72/5
x < 14.4
Now, let's convert the decimal value of 14.4 to a mixed number. To do this, we need to determine the whole number part and the fraction part.
The whole number part is simply the whole number part of the decimal, which is 14 in this case. The fraction part is the decimal part written as a fraction.
The decimal part of 14.4 is 0.4. To convert this decimal to a fraction, we can write it as 4/10, which can be simplified to 2/5.
Therefore, the improper fraction 14.4 can be written as a mixed number: 14 2/5.
So, the solution to the inequality 5x/9 < 8, written as a mixed number, is x < 14 2/5.
wrong
To solve the inequality 5x/9 < 8, we need to isolate the variable x.
First, we can multiply both sides of the inequality by 9 to get rid of the fraction:
(5x/9) * 9 < 8 * 9
This simplifies to:
5x < 72
Now, we can solve for x by dividing both sides of the inequality by 5:
(5x)/5 < 72/5
Simplifying further:
x < 14.4
The solution to the inequality is x < 14.4.
Apologies for the mistake. Let's solve the inequality correctly:
5x/9 < 8
To isolate x, we can multiply both sides of the inequality by 9:
9 * (5x/9) < 8 * 9
This simplifies to:
5x < 72
Next, we divide both sides of the inequality by 5 to solve for x:
(5x)/5 < 72/5
Simplifying further:
x < 14.4
Therefore, the solution to the inequality is x < 14.4.