Question

Express $y>-2$ and $y\le 2$ into a compound inequality.

• A. $-2<y\le 2$
• B. $-2\le y\le 2$
• C. $-2<y<2$

Answer 1

The correct option is A $-2<y\le 2$

$y>-2$ and $y\le 2$

Compound inequality is a combination of two separate inequalities that satisfies both the condition of the two inequalities.

Step 1: $y>-2$ can be represented as $-2<y$

Step 2: $-2<y$ and $y\le 2$

$\Rightarrow -2<y\le 2$

This compound inequality represents $y$ is greater than $-2$ and less than or equal to $2$ simultaneously.

$\therefore$ $y$ lies from $-2$ to $2$, excluding -2 and including $2$.