The equation is \ \
Subtraction property of equality: if , then
.
(Subtract 3 from both sides)
(Subtract:
and
)
Write two cases:
\Case-1: .
Case-2:
Solve the equation for Case-1.
\ (Subtract 4 from both sides)
(Subtract:
and
)
Check:
\To check the solution, substitute in original equation.
(Add:
)
(The absolute value of 14 is 14)
(Add:
)
Compare the values the equation is true. is a solution.
Solve the equation for Case-2.
\ (Subtract 4 from both sides)
(Subtract:
. Add:
)
Check:
\To check the solution, substitute in original equation.
(Subtract:
)
(The absolute value of
is 14)
(Add:
)
Compare the values the equation is true. is a solution.
The solution set is