Questions: QUESTION 18 Graph the region described by the inequality. 2 x+y ≤ -1

Transcript text: QUESTION 18 Graph the region described by the inequality. \[ 2 x+y \leq-1 \]

Solution

Solution Steps

Step 1: Rewrite the inequality in slope-intercept form

The given inequality is: \[ 2x + y \leq -1 \]

To rewrite it in slope-intercept form, solve for $ y $: \[ y \leq -2x - 1 \]

Step 2: Identify the boundary line

The boundary line for the inequality is: \[ y = -2x - 1 \]

Step 3: Determine the region to shade

Since the inequality is $ y \leq -2x - 1 $, the region below the line $ y = -2x - 1 $ should be shaded.

Final Answer

The inequality $ 2x + y \leq -1 $ represents the region below the line $ y = -2x - 1 $.

{"axisType": 3, "coordSystem": {"xmin": -10, "xmax": 10, "ymin": -10, "ymax": 10}, "commands": ["y = -2x - 1"], "latex_expressions": ["$y = -2x - 1$"]}

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Questions: QUESTION 18 Graph the region described by the inequality. 2 x+y ≤ -1

Solution

Solution Steps

Final Answer

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