solve: −4≤2x+6<18
i don't know how to solve this kind of problem with symbols??
*two symbols
−4≤2x+6<18
subtract 6
-10 ≤ 2x < 12
divide by 2
-5 ≤ x < 6
remember, only multiplication and division by a negative number will affect the inequality sign.
Since I multiplied by +2, nothing happened.
To solve the inequality −4 ≤ 2x + 6 < 18, we need to isolate the variable x. Here are the steps to solve it:
Step 1: Subtract 6 from all parts of the inequality:
-4 - 6 ≤ 2x + 6 - 6 < 18 - 6
-10 ≤ 2x < 12
Step 2: Divide all parts of the inequality by 2:
-10/2 ≤ 2x/2 < 12/2
-5 ≤ x < 6
So, the solution to the inequality −4 ≤ 2x + 6 < 18 is -5 ≤ x < 6.