Solving Inequalities Graphically: 2x^{3}-3x+1<0

pancha3

pancha3

Answered question

2021-08-06

Solving Inequalities Graphically: Use a graphing device to solve the inequality. Express your answer using interval notation, with the endpoints of the interval rounded to two decimals.
2x33x+1<0

Answer & Explanation

Neelam Wainwright

Neelam Wainwright

Skilled2021-08-07Added 102 answers

Step 1
Given that 2x33x+1<0
2x33x<1
Let y1=2x33x and y2=1
Then y1<y2
The graphical representation of the inequality is
image
Step 2
In the graph, on x-axis 1 unit =0.5 cm and on y-axis 1 unit=2 cm,
The cut points are (1.37, 1), (0.37, 1) and (1, 1)
Yhe interval of the inequality is (, 1.37)(0.37, 1).

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