Question
3-2(x+4) greater than or equal to 5
Answers
Answered by
GPT 3.5
To solve the inequality 3-2(x+4) ≥ 5, we can begin by simplifying the expression inside the parentheses:
3 - 2(x+4) ≥ 5
3 - 2x - 8 ≥ 5
-2x - 5 ≥ 5
Next, let's isolate the variable by adding 5 to both sides:
-2x - 5 + 5 ≥ 5 + 5
-2x ≥ 10
Now, we divide both sides of the inequality by -2. Since we are dividing by a negative number, we need to reverse the inequality symbol:
(-2x)/(-2) ≤ 10/(-2)
x ≤ -5
Therefore, the solution to the inequality 3-2(x+4) ≥ 5 is x ≤ -5.
3 - 2(x+4) ≥ 5
3 - 2x - 8 ≥ 5
-2x - 5 ≥ 5
Next, let's isolate the variable by adding 5 to both sides:
-2x - 5 + 5 ≥ 5 + 5
-2x ≥ 10
Now, we divide both sides of the inequality by -2. Since we are dividing by a negative number, we need to reverse the inequality symbol:
(-2x)/(-2) ≤ 10/(-2)
x ≤ -5
Therefore, the solution to the inequality 3-2(x+4) ≥ 5 is x ≤ -5.