Answer:
Step-by-step explanation:
<, > - dotted line
≤, ≥ - solid line
<, ≤ - shaded above the line
>, ≥ - shaded below the line
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The slope intercept form of a line: y = mx + b
m - slope
b - y-intercept (0, b)
If m > 0, then the function is increasing
If m < 0, then the function is decreasing
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<h2>Q1.</h2>
y = -2x - 1 → m = -2 < 0 and b = -1
<em>decreasing function, y-intercept -1 → (0, -1)</em>
y = x + 5 → m = 1 > 0 and b = 5
<em>increasing function, y-intercept 5 → (0, 5)</em>
y = 2x - 1 → m = 2 > 0, and b = -1
<em>increasing function, y-intercept -1 → (0, -1)</em>
y = -x + 5 → m = -1 < 0 and b = 5
<em>decreasing function, y-intercept 5 → (0, 5)</em>
From the picture we have
<em>(1) increasing function and y-intercept 5 → </em><em>y = x + 5</em>
<em>shaded below the solid line → </em><em>y ≤ x + 5</em>
<em>(2) decreasing function and y-intercept -1 → </em><em>y = -2x - 1</em>
<em>shaded below the solid line → </em><em>y ≤ -2x - 1</em>
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<h2>
Q2.</h2>
<em>subtract 3 from both sides</em>
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<h2>
Q3.</h2>
<em>solid line (≤ or ≥)</em>
<em>shaded below the line (≤ or <)</em>
<em>y ≤ x - 4</em>