solve: 3+2(1-x)>6
i got -11/2
no
Here is what I got:
3+2(1-x)>6
3 + 2 - 2x > 6
-2x > 1
x < -1/2
what about the 3+2? i have to graph the solution set on a number line.
What about the 3+2 ????
What a strange question re this problem
What level of math are you studying?
draw a line, place marks at -4,-3,....,4,
put on open circle at -1/2 and from that place draw a line with an arrow going to the left.
I apologize for the confusion. Let me explain how to solve the inequality step by step, including the 3 + 2 part.
We start with the given inequality: 3 + 2(1 - x) > 6.
First, we simplify the equation inside the parentheses:
1 - x is equal to -x + 1.
Substituting this back into the inequality, we have:
3 + 2(-x + 1) > 6.
Next, we simplify further by applying the distributive property:
3 - 2x + 2 > 6.
Combining like terms, we have:
5 - 2x > 6.
To solve for x, we want to isolate the variable. We start by subtracting 5 from both sides of the inequality:
-2x > 1.
Now, we need to divide both sides of the inequality by -2. However, we need to be careful with the direction of the inequality because we are dividing by a negative number. Thus, the inequality sign will flip:
x < -1/2.
Now, considering the 3 + 2 part, this is simply an addition operation that took place during the simplification process. It does not affect the final solution of the inequality.
To graph the solution set on a number line, we mark an open circle at -1/2 (since x is less than, not equal to -1/2), and draw an arrow to the left, indicating that any value less than -1/2 satisfies the inequality.
I hope this clears up any confusion. Let me know if you have any further questions.