solve 5x <12 write the improper fraction in your answer as a mixed number. make sure to write your inequality so that x comes first
To solve the inequality 5x < 12, we need to isolate x. Let's begin:
We can divide both sides of the inequality by 5 to get the value of x alone. However, when dividing an inequality by a negative number, the inequality sign must be flipped. Since 5 is positive, we can divide both sides by 5 without flipping the inequality sign.
Dividing both sides of the inequality by 5:
(x < 12/5)
To write the improper fraction 12/5 as a mixed number, we divide the numerator (12) by the denominator (5). The quotient will be the whole number part of the mixed number, and the remainder will be the numerator of the fraction part.
12 ÷ 5 = 2 remainder 2
Therefore, the mixed number is:
2 and 2/5
Now, writing the inequality with x first:
(x < 2 2/5)