Graph the solutions for the inequality: −3x+1≤−47
(2 points)
Responses
To graph the solutions for the inequality −3x+1≤−47, we can start by rewriting it in slope-intercept form: y ≤ -3x - 46.
To graph this inequality, we need to graph the equation y = -3x - 46 and shade the area below the line.
Here is the graph:
graph{y <= -3x - 46 [-10, 10, -60, 10]}
To graph the solution for the inequality -3x + 1 ≤ -47, we need to find the values of x that satisfy the inequality.
Step 1: Start by isolating the variable x. Subtract 1 from both sides of the inequality:
-3x + 1 - 1 ≤ -47 - 1
-3x ≤ -48
Step 2: Divide both sides of the inequality by -3:
(-3x) / -3 ≥ (-48) / -3
x ≥ 16
So, the solution to the inequality is x ≥ 16.
To graph this solution on a number line, draw a closed circle at 16 (since x is greater than or equal to 16) and shade the line to the right of the circle to represent all values of x greater than or equal to 16.