What is the solution to the nearest tenth to the equation below?
-3x -14 less than or equal to -5
* sorry if í wrote the question weird but í couldn't do some equation signs*
A. X less than or equal to -3
B. X less than or equal to 3
C. X greater than or equal to -3
D. X greater than or equal to 3
Please tell me how to solve it because í don't get it, thank you!
-3x -14 ≤ -5
-3x ≤ 9
x >- 3
When we multiply or divide by a negative number we must reverse the inequality.
Ohh ok, thank you!
You're welcome.
it can still be equal ... ≥
To solve the given inequality, -3x - 14 ≤ -5, we need to isolate the variable 'x'. Here's the step-by-step solution:
Step 1: Add 14 to both sides of the inequality:
-3x - 14 + 14 ≤ -5 + 14
-3x ≤ 9
Step 2: Divide both sides of the inequality by -3. Since we are dividing by a negative number, the direction of the inequality sign should be flipped:
(-3x)/-3 ≥ 9/(-3)
x ≥ -3
So, the solution to the inequality is x ≥ -3.
To convert the solution to the nearest tenth, there are no decimal places involved, so the answer remains as x ≥ -3.
Therefore, the correct answer is option C: X greater than or equal to -3.