Which number line shows the solution to the inequality?

y minus 2 less-than negative 5
A. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
B. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded.
C. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
D. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.

1 answer

The correct answer is A. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.

This is because the inequality is y - 2 < -5, which means that y is less than -3. So, everything to the left of -3 on the number line should be shaded.
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