Question

5x – 10 ≤ 20? A) (–∞, 2] B) (–∞, 2) C) (–∞, 6] D) (–∞, 6)

Answer 1

(-oo, 6] I just did this on edgenuity and the "oo" is supposed to be the symbol

Answer 2

Answer:

The solutions of $5x-10\le \:20$ are $(-\infty \:,\:6]$, so C is the correct answer.

Step-by-step explanation:

The expression $5x-10\le \:20$ is an inequality. An inequality is a mathematical statement that compares two expressions using an inequality sign.

The important thing about inequalities is that there can be multiple solutions.

To find all the solutions of $5x-10\le \:20$ you must:

$\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\5x-10+10\le \:20+10$

$\mathrm{Simplify}\\5x\le \:30$

$\mathrm{Divide\:both\:sides\:by\:}5\\\frac{5x}{5}\le \frac{30}{5}$

$x\le \:6$

The graph of the inequality $x\le \:6$ is shown below.

According with the graph the solutions are less than or equal to 6, using interval notation $(-\infty \:,\:6]$.

The solutions of $5x-10\le \:20$ are $(-\infty \:,\:6]$, so C is the correct answer.