Question

Select True or False to correctly classify each inequality.

Answer 1

$2.6\le2.6$ classifies as $\text{true}$

$-6$ classifies as $\text{false}$,

$3.1>-3.1$ classifies as $\text{true}$

so $-5\ge -5$ classifies as $\text{true}$

To classify the statements, we need to evaluate each of them:

$\text{Evaluate }2.6\le2.6\\\implies (2.6$

so $2.6\le2.6$ classifies as $\text{true}$, since the statement also allows $2.6$ to be equal to itself.

$\text{Evaluate }-6$

so $-6$ classifies as $\text{false}$, since $-6$ is equal to itself, not smaller.

$\text{Evaluate }3.1>-3.1\\\implies \text{true}$

so $3.1>-3.1$ classifies as $\text{true}$, since $x>-x$, for all real numbers

$\text{Evaluate }-5\ge-5\\\implies (-5>-5)\text{ or }(-5=-5)\\\implies \text{false or true}\\\implies\text{true}$

so $-5\ge -5$ classifies as $\text{true}$, since the statement also allows $-5$ to be equal to itself.

Learn more about inequalities here: brainly.com/question/24786628