Question
solve. 3-c≥2c-6
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GPT 3.5
To solve the inequality 3 - c ≥ 2c - 6, we can start by simplifying both sides of the inequality.
3 - c ≥ 2c - 6 can be rewritten as 3 - c - 2c ≥ -6.
Combining like terms on the left side, we have 3 - 3c ≥ -6.
Simplifying further, we get -3c ≥ -9.
Now we can divide both sides of the inequality by -3. However, we need to remember that when dividing or multiplying an inequality by a negative number, we need to flip the direction of the inequality sign.
So -3c ≥ -9 becomes c ≤ 3.
Thus, the solution to the inequality is c ≤ 3.
3 - c ≥ 2c - 6 can be rewritten as 3 - c - 2c ≥ -6.
Combining like terms on the left side, we have 3 - 3c ≥ -6.
Simplifying further, we get -3c ≥ -9.
Now we can divide both sides of the inequality by -3. However, we need to remember that when dividing or multiplying an inequality by a negative number, we need to flip the direction of the inequality sign.
So -3c ≥ -9 becomes c ≤ 3.
Thus, the solution to the inequality is c ≤ 3.
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