Question

QUICK WHATS THIS ANSWER?!?

Answer 1

Answer:

C. $-x-6>-3.5$

Step-by-step explanation:

One is asked to find which inequality has ($x=-3$) in its solution set. Remember that an inequality is another way to represent a set of solutions. In essence, it states that all numbers less than; less than or equal to; greater than; or greater than or equal to, are a part of the solution. One simplifies an inequality in a similar manner to how one simplifies an equation, by using inverse operations and simplification. Just note that when multiplying or dividing the inequality by a negative number, one has to flip the inequality sign to ensure the expression remains true.

Simplify each of the inequalities, then evaluate to see which one has ($x=-3$) as a part of its solution set.

A. $-x -6$

$-x$

$x>-2.5$

B. $-x-6>3.5$

$-x>9.5$

$x$

C. $-x-6>-3.5$

$-x>2.5$

$x$

D. $x-6>-3.5$

$x>2.5$

As can be seen, option (C $-x-6>-3.5$) is the only one that fits this requirement. Since option (C) simplifies down to ($x$) or in words, (x) is less than (-2.5). This option is the only one that fits the solution since (-3) is less than (-2.5).