The procedure to solve a polynomial or rational inequality may be applied to all inequalities of the f ( x ) > 0 , f ( x ) < 0 , f ( x ) ≥ 0 and f ( x ) ≤ 0 . That is, find the real solutions to the related equation and determine restricted values of x . Then determine the sign of f ( x ) on each interval defined by the boundary points. Use this process to solve the inequalities in Exercises 109–120 5 − x − 7 ≥ 0
The procedure to solve a polynomial or rational inequality may be applied to all inequalities of the f ( x ) > 0 , f ( x ) < 0 , f ( x ) ≥ 0 and f ( x ) ≤ 0 . That is, find the real solutions to the related equation and determine restricted values of x . Then determine the sign of f ( x ) on each interval defined by the boundary points. Use this process to solve the inequalities in Exercises 109–120 5 − x − 7 ≥ 0
Solution Summary: The author calculates the solution of the inequality sqrt5-x-7ge 0 by dividing the x-axis into intervals defined by boundary points.
The procedure to solve a polynomial or rational inequality may be applied to all inequalities of the
f
(
x
)
>
0
,
f
(
x
)
<
0
,
f
(
x
)
≥
0
and
f
(
x
)
≤
0
. That is, find the real solutions to the related equation and determine restricted values of x. Then determine the sign of
f
(
x
)
on each interval defined by the boundary points. Use this process to solve the inequalities in Exercises 109–120
Answer the number questions with the following answers
+/- 2 sqrt(2)
+/- i sqrt(6)
(-3 +/-3 i sqrt(3))/4
+/-1
+/- sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
1
Matching 10 points
Factor and Solve
1)x3-216 0, x = {6,[B]}
2) 16x3 = 54 x-[3/2,[D]]
3)x4x2-42 0 x= [ +/-isqrt(7), [F] }
4)x+3-13-9x x=[+/-1.[H]]
5)x38x2+16x=0, x = {0,[K}}
6) 2x6-10x-48x2-0 x-[0, [M], +/-isqrt(3))
7) 3x+2x²-8 x = {+/-i sqrt(2), {Q}}
8) 5x³-3x²+32x=2x+18 x = {3/5, [S]}
[B]
[D]
[F]
[H]
[K]
[M]
[Q]
+/-2 sqrt(2)
+/- i sqrt(6)
(-3+/-3 i sqrt(3))/4
+/- 1
+/-sqrt(6)
+/- 2/3 sqrt(3)
4
-3 +/- 3 i sqrt(3)
[S]
The only problems I need help with ae the last 8 ones, Thanks
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.