Attempt following question by selecting a choice to answer.
D
Simplify the inequality
x, if
|x + 6| + 3 < 7.
DDD DDDA.
Dx > -2
and x < -10
B.
Dx < -2
and x > -10
C.
Dx < -2
and x > 10
D.
DNone of the above
DD
B
Step 1: |x + 6| + 3 < 7
Step 2: |x + 6| + 3 - 3 < 7 - 3[Subtracting 3 from the two sides of the equation.]
Step 3: |x + 6| < 4[Simplify.]
Step 4: The inequality includes < so, the inequalities are connected by and
Step 5: x + 6 < 4 and x + 6 > -4
Step 6: x + 6 - 6 < 4 - 6 and x + 6 - 6 > -4 - 6[Subtracting 6 from the two sides of the equation.]
Step 7: x < -2 and x > -10[Simplify.]
Step 8: The solution for the inequality is x < -2 and x > -10.