Multiple Choice
Solve and graph the following absolute value inequalities. Express the solution in interval notation.
(A)
17
views
9. Inequalities and Absolute Value
Absolute Value Inequalities
Multiple Choice
Solve and graph the following absolute value inequalities.
(A)
A
All real numbers
B
C
D
No solution
Verified step by step guidance1
Start with the given inequality: \(\left|8x + 6\right| + 5 < 4\).
Isolate the absolute value expression by subtracting 5 from both sides: \(\left|8x + 6\right| < 4 - 5\).
Simplify the right side: \(\left|8x + 6\right| < -1\).
Recall that the absolute value of any expression is always greater than or equal to 0, so it can never be less than a negative number.
Conclude that there is no solution to this inequality because \(\left|8x + 6\right|\) cannot be less than \(-1\).
Related Videos
Related Practice