6. 0 was caax a u C WSBCCTHO, "TO alt c Kaxoe 10 caezynompor nepasencers nenepno? 1) a-3lt c-3 2) a+5lt c+5 3) (a)/(4)lt (c)/(4) 4) -(a)/(2)lt -(c)/(2)

To solve this problem, we need to determine which of the given inequalities correctly represents the relationship between the variables a and c.<br /><br />Let's analyze each option:<br /><br />1) $a-3\lt c-3$<br />This inequality is incorrect because subtracting the same value from both sides of an inequality does not change the relationship between the variables.<br /><br />2) $a+5\lt c+5$<br />This inequality is incorrect because adding the same value to both sides of an inequality does not change the relationship between the variables.<br /><br />3) $\frac {a}{4}\lt \frac {c}{4}$<br />This inequality is correct because dividing both sides of an inequality by a positive number does not change the relationship between the variables.<br /><br />4) $-\frac {a}{2}\lt -\frac {c}{2}$<br />This inequality is incorrect because multiplying both sides of an inequality by a negative number reverses the relationship between the variables.<br /><br />Therefore, the correct answer is option 3: $\frac {a}{4}\lt \frac {c}{4}$.