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# 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 agoFavorite Answer
x^2 − 7x + 12 < x + 5

x^2-8x+7<0

(x-7)(x-1)<0

1< x <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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