How do you solve #abs(3x) ≤ abs(2x  5)#?
There are four solutions;
Note: When you divide or multiplty an inequality sign by a negative value, the sign changes..
Removing the bracket;
Hence the possible ranges are;
Therefore;
By signing up, you agree to our Terms of Service and Privacy Policy
To solve the inequality abs(3x) ≤ abs(2x  5), you split it into two cases:

When 3x ≥ 0 and 2x  5 ≥ 0: In this case, solve 3x ≤ 2x  5.

When 3x < 0 and 2x  5 < 0: In this case, solve 3x ≤ 2x  5.
Then, find the solutions for each case and combine them.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 How do you graph the system #y<= 2x + 3# and #x > 1#?
 How do you graph the system of linear inequalities #y>x#, #x> 3# and #y>=0#?
 How do you solve and graph #1<=5+b<10#?
 How do you solve the absolute value equation #y=2abs(5x+8)+4# and find the vertex, x intercepts and y intercept?
 How do you solve the inequality #55 <5 + x#?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7