Wayne asked in 科學及數學數學 · 1 decade ago

A maths inequality

Solve the inequality x^2 − 7x + 12 < x + 5. Sketch the graphs y = x^2 − 7x + 12 and y = x + 5, indicating

the points where they intersect each other and where they each intersect the coordinate axes.

1 Answer

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  • 1 decade ago
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    x^2 − 7x + 12 &lt; x + 5

    x^2-8x+7&lt;0

    (x-7)(x-1)&lt;0

    1&lt; x &lt;7

    y = x^2 − 7x + 12

    y = x + 5

    x^2 − 7x + 12 = x + 5

    (x-7)(x-1)=0

    x=7 or x=1

    the intersect is(7,12) and (1,6)

    then the graphs:y = x^2 − 7x + 12 is parabola

    cut with y = x + 5 (slope=1 and upward=5)

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