I'm stuck on solving this one. If I could get some help please.
-6 le x/2 - 4 lt -3
le is less than or equal and lt is less than..was not sure how to less than equal on the computer
I get the -6 is > or = to , what is the rest of the problem?
just as it is written:
-6 is <or= x/2-4 < -3
-6≤x/2-4<-3
-6 ≤ x/2-4 < -3
add 4
-2 ≤ x/2 ≤ 1
multiply by 2
-4 ≤ x ≤ 2
thank you!
To solve this equation, we need to isolate the variable x.
Here are the steps to solve the inequality -6 ≤ x/2 - 4 < -3:
Step 1: Add 4 to all parts of the inequality to get rid of the -4 on the right side:
-6 + 4 ≤ x/2 - 4 + 4 < -3 + 4
This simplifies to:
-2 ≤ x/2 < 1
Step 2: Multiply all parts of the inequality by 2 to eliminate the fraction:
-2 * 2 ≤ (x/2) * 2 < 1 * 2
This simplifies to:
-4 ≤ x < 2
So, the solution to the inequality -6 ≤ x/2 - 4 < -3 is -4 ≤ x < 2.