Graphing Absolute Value Inequalities

What is the correct equation for this graph?

• y > -|x| + 7/2

• y > -2|x| + 4

• y > -1/2|x| + 2

• y > |x| + 4

What is the correct equation for this graph?

• y ≤ 2|x-1| - 1

• y ≤ 1/2|x-1| + 4

• y ≥ -2|x+1| - 2

• y ≥ -2|x-1| + 1

Which graph matches the inequality?

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What is the correct equation for this graph?

• y < |x+4| -3

• y ≤ |x+4|+ 3

• y ≤ |x-4| -1

• y < 1/2|x+4| + 1/2

Graph the solution set for |x - 3y| ≤ 7.

• Graph the lines x = 3y + 7 and x = 3y + 7 and shade the region between them.

• Graph the lines x = 3y + 7 and x = 3y + 7 and shade the region outside of them.

• Graph the lines x = 3y - 7 and x = 3y + 7 and shade the region between them.

• Graph the lines x = 3y + 7 and x = 3y - 7 and shade the region between them.

Which graph represents the solution to the absolute-value inequality:

I 2x - 11 I < 21

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Answer explanation

Remember what sort of graph < means for absolute-value.

Which graph represents the solution to the absolute-value inequality:

I 3x + 9 I > 27

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Answer explanation

Remember what sort of graph > means for absolute-value.

Which graph matches the inequality?

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Which graph matches the inequality?

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Are we going to shade above or below for f(x) ≤|x|+1?

• Above

• Below