What is the best first step to solve the inequality 5x – 3 ≥ 2?
2 answers:
Answer: move the -3 to the other side of the inequality, changing its sign.
Step-by-step explanation:
To solve the inequality you have to isolate the x, so the first step you have to take is to move any number that is adding or subtracting to the x to the other side of the inequality, if the number is positive then when you move it it'll be negative and if it is negative it'll be positive.
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Answer:
Therefore, the slope-intercept form of the blue line is
Comparison:
The blue and black lines both have equal y-intercept but different slopes.
The black line is steeper than blue line which means the black line has a greater slope than the blue line.
Step-by-step explanation:
Please refer to the attached graph of this question where we have two straight lines.
The slope-intercept form is given by
Where m is the slope of the line and b is the y-intercept.
Let us find the slope of the blue line from the points given in the graph.
The slope is given by
The y-intercept is given by
Therefore, the slope-intercept form of the blue line is
Comparison:
The blue and black lines both have equal y-intercept but different slopes.
The black line is steeper than blue line which means the black line has a greater slope than the blue line.
