Answer:
16. y < 1 - 2|x -2|
17. y ≥ 3 + (1/2)|x -2|
Explanation:
16. Shading is below the dashed line, so the inequality is ...
y < (something)
The function is an inverted absolute value function with slopes ±2, so -2 is the multiplier. Its vertex is translated to (2, 1), so the parent function is modified to be ...
f(x -2) +1
With the multiplier and the comparison added, the whole inequality is ...
y < -2|x -2| +1
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17. Shading is above the solid line, so the inequality is ...
y ≥ (something)
The function is an absolute value function translated to (2, 3) and given a vertical scaling of 1/2. So, your inequality is ...
y ≥ (1/2)|x -2| +3