Final answer:
True. When solving an inequality involving fractions, we eliminate the fractions by multiplying only the terms with fractions by the Lowest Common Denominator (LCD) and keeping other terms untouched.
Step-by-step explanation:
True
When solving an inequality involving fractions, we eliminate the fractions by multiplying only the terms with fractions by the Lowest Common Denominator (LCD) and keeping other terms untouched. This allows us to get rid of the fractions and work with whole numbers, making the inequality easier to solve.
For example, consider the inequality: 2/3x + 1/4 > 3/2
To eliminate the fractions, we would multiply both sides of the inequality by the LCD, which is 12. This gives us: 12 * (2/3x) + 12 * (1/4) > 12 * (3/2)
Simplifying, we have: 8x + 3 > 18
From here, we can continue solving the inequality to find the value of x.