I am having trouble with -4less than or equal to -3x-13 less than or equal to 26
-4 < -3x-13 < 26
Add 13 to all three parts of the inequality.
9 < 3x < 39
Divide all three parts by 3.
3 < x < 13
The < signs should all be "less than or equal, but I can't type that symbol with this computer
Take it apart into 2 statements
a) -4<=-3x-13
3x<=-9
x<-3
AND
b)-3x-13<=26
-3x<=39
x>=-13
now combine it into -13<=x<=-3
or you could do it the way it sits
-4<=-3x-13<=26
add 13
9<=-3x<=39
divide by -3, remember to reverse the inequality sign
-9>=x>=-13
which is the same result as in my first solution.
drwls, you missed the -sign in front of the 3x.
To solve the inequality -4 <= -3x - 13 <= 26, we can follow these steps:
Step 1: Add 13 to all parts of the inequality:
-4 + 13 <= -3x - 13 + 13 <= 26 + 13
9 <= -3x <= 39
Step 2: Divide all parts of the inequality by -3. Since we are dividing by a negative number, we need to reverse the inequality signs:
9/-3 >= (-3x)/-3 >= 39/-3
-3 >= x >= -13
So, the solution to the inequality is -3 >= x >= -13, or alternatively, -13 <= x <= -3.