# How do you solve and write the following in interval notation: #x^2 + 6x + 5 >= 0#?

The interval notation is

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To solve the inequality (x^2 + 6x + 5 \geq 0), first find the roots of the quadratic equation (x^2 + 6x + 5 = 0). The roots are (x = -1) and (x = -5). These are the points where the quadratic equation intersects the x-axis.

Plotting these points on a number line and testing points in each interval will determine the sign of the quadratic expression in that interval. This helps to determine the intervals where the inequality is satisfied (the quadratic expression is greater than or equal to zero).

The solution in interval notation is ([-5, \infty)).

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