A curve has equation y = x 2 5x + 7 and a line has equation

Question:

A curve has equation y = x2 − 5x + 7 and a line has equation y = 2x − 3.

a. Show that the curve lies above the x-axis.

b. Find the coordinates of the points of intersection of the line and the curve.

c. Write down the set of values of x that satisfy the inequality x2 − 5x + 7 ,2x − 3.

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