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)
(Add
to each side)
(Apply additive inverse property:
)
Step 2:
\
(Original inequality)
(Subtract
from each side)
(Apply additive inverse property:
)
(Take square of each side)
(Cancel square and root terms)
(Add
to each side)
(Apply additive inverse property:
)
Step 3:
\It appears that
.
\
Check:
\Use three test values and make a table:
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Since is not a real number,the inequality is not satisfied. | \
Since ,the inequality is satisfied. | \
Since , the inequality is not satisfied. | \
Thus, only values in the interval
satisfy the inequality.
Graph:
\Draw the solution with in a number line.
\
The inequality solution set is
.