Given the numbers x = a and y = –b, which statement is true? a. |x| = –a and –|y| = –b b. –|x| = a and –|y| = b c. |–x| = –a and |–y| = b d. |x| = a and |y| = b

choice D is correct, any number inside the absolute value sign is positive so choice A and C is eliminated, if there is a negative sign in front of the absolute value symbol, the number becomes negative which eliminates choice B. The only choice left is choice D

D. |x| = a and |y| = b , because modulus sign (| |) turns a negative number into positive

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

so the possibilities of the measurement of the side of the triangle are either it is longest side or not the longest side

when it is the longest side

s < 25 + 35s < 60

if it is not the longest side

35 < 25 + s10 < sso 10 < s < 60so the perimeter70 < p < 130