The inequality is .
Solve the inequality.
\Step 1:
\Since the radicand of a square root must be greaterthan or equal to zero, first solve to identity the values of
for which the left side of the inequality is define.
(Radicand greater than or equals to zero)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
Step 2:
\ (Original inequality)
(Add
to each side)
(Apply additive inverse property:
)
(Take square of each side)
(Cancel square and root terms)
(Substitute:
)
(Subtract
from each side)
(Apply additive inverse property:
)
(Divide each side by
)
(Cancel common terms)
Step 3:
\It appears that .
Check:
\Use three test values and make a table:
\![]() | \
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Since ![]() | \
Since ![]() | \
Since ![]() | \
Thus, only values in the interval satisfy the inequality.
Graph:
\Draw the solution with in a number line.
\The inequality solution set is .