Question

WILL MARK BRAINLIEST !!!!!! PLEASE HELP ASAP

Answer 1

Answer:

$\large\boxed{Q1.\ \left\{\begin{array}{ccc}y\leq-2x-1\\y\leq x+5\end{array}\right}\\\boxed{Q2.\ 6\leq y-3\leq8}\\\boxed{Q3.\ y\leq x-4}$

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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Q1.

y = -2x - 1 → m = -2 < 0 and b = -1

decreasing function, y-intercept -1 → (0, -1)

y = x + 5 → m = 1 > 0 and b = 5

increasing function, y-intercept 5 → (0, 5)

y = 2x - 1 → m = 2 > 0, and b = -1

increasing function, y-intercept -1 → (0, -1)

y = -x + 5 → m = -1 < 0 and b = 5

decreasing function, y-intercept 5 → (0, 5)

From the picture we have

(1) increasing function and y-intercept 5 → y = x + 5

shaded below the solid line → y ≤ x + 5

(2) decreasing function and y-intercept -1 → y = -2x - 1

shaded below the solid line → y ≤ -2x - 1

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Q2.

$9\leq y\leq11$            subtract 3 from both sides

$9-3\leq y-3\leq11-3\\\\6\leq y-3\leq8$

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Q3.

solid line (≤ or ≥)

shaded below the line (≤ or <)

y ≤ x - 4