Solve for x |-2+(x-3)|<7

Math
Write as a piecewise.
Tap for more steps…
To find the interval for the first piece, find where the inside of the absolute value is non-negative.
Solve the inequality.
Tap for more steps…
Subtract from .
Add to both sides of the inequality.
In the piece where is non-negative, remove the absolute value.
To find the interval for the second piece, find where the inside of the absolute value is negative.
Solve the inequality.
Tap for more steps…
Subtract from .
Add to both sides of the inequality.
In the piece where is negative, remove the absolute value and multiply by .
Write as a piecewise.
Subtract from .
Simplify .
Tap for more steps…
Subtract from .
Apply the distributive property.
Multiply by .
Solve when .
Tap for more steps…
Move all terms not containing to the right side of the inequality.
Tap for more steps…
Add to both sides of the inequality.
Add and .
Find the intersection of and .
Solve when .
Tap for more steps…
Solve for .
Tap for more steps…
Move all terms not containing to the right side of the inequality.
Tap for more steps…
Subtract from both sides of the inequality.
Subtract from .
Multiply each term in by
Tap for more steps…
Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Multiply .
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Find the intersection of and .
Find the union of the solutions.
The result can be shown in multiple forms.
Inequality Form:
Interval Notation:
Solve for x |-2+(x-3)|<7


Need help with MATH HOMEWORK

We can help your. Our mathematic problem solver answers your math homework questions with step-by-step explanations.

Need help with math? Try to Solve Algebra Math Problems here: https://elanyachtselection.com/

Scroll to top