Which of the following is a solution of y > |x| - 6?

Shown in the second Figure below

This is an inequality we must solve. Recall that an inequality tells us that two values are different. To solve this inequality, we need to plot the line:

The graph is shown in the first Figure below. The solution can be found by testing a point, namely (0, 0), and verifying if this point meet the requirement of the inequality as follows:

The solution is the part of the graph having black lines.

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.