Question

Look at the inequality below.
3n+7<4


Which graph represents the solution to the inequality shown?

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A.
A number line between -1 and 3 has a bold line start with a closed circle between 2 and 3 and heads rightwards.

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B.
A number line between -1 and 3 has a bold line start with a closed circle between 2 and 3 and heads leftwards.

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C.
A number line between -1 and 3 has a bold line start with a closed circle at -1 and heads rightwards.

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D.
A number line between -1 and 3 has a bold line start with a closed circle at -1 and heads leftwards.

Answer 1

Solve: 3n + 7 < 4
3n < 4 − 7 = −3
n < −1

So the graph should be all numbers to the left of −1 (with an open circle at −1). Among the given choices, D shows the ray left from −1 (though it incorrectly shows a closed circle). Choice D is the best match.