Solve for x: -1 < x + 3 < 5 Answers:

A: 2 < x < < 8

B: -4 < x < 2

C: 2 > x > 8

D: -4 > x > 2

B. -4 < x < 2

Step-by-step explanation:

-1 < x+3 < 5

step 1: minus 3 on all three sides

= -1 - 3 = -4

= 3 - 3 = 0

= 5 - 3 = 2

= -4 < x < 2

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.