In order to graph the solution set for the inequality −3x + 1 ≤ −47, we need to first solve for x.
−3x + 1 ≤ −47
Subtract 1 from both sides:
−3x ≤ −48
Next, divide both sides by −3, but remember if you divide by a negative number, the inequality sign must be flipped:
x ≥ 16
To graph the solution set for this inequality, we need to shade all the values of x that are greater than or equal to 16 on the number line. This can be represented as a shaded line to the right of 16.
The graph of the solution set would look like this:
<-------------(=======>
16
The shaded region to the right of 16 represents all the values of x that satisfy the inequality −3x + 1 ≤ −47.
Graph the solution set for the inequality: −3x+1≤−47 (1 point) Responses Skip to navigation
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