Solve and graph the solution to the inequality −6n+3≥21. Then explain what the solution means.(2 points) I’m 20 words
To solve the inequality, we can begin by first isolating the variable "n".
Starting with: -6n + 3 ≥ 21
Subtracting 3 from both sides: -6n ≥ 18
Dividing both sides by -6 (remembering to flip the inequality sign because we are dividing by a negative number): n ≤ -3
Therefore, the solution to the inequality is n ≤ -3.
Let's graph the solution on a number line. We mark a closed circle at -3 and shade the region to the left of -3, including -3.
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-5 -4 -3 -2 -1 0 1 2 3
The solution n ≤ -3 means that any value of n that is less than or equal to -3 will make the inequality true.
Make that in a 7th grade level and shorter
To solve the inequality -6n + 3 ≥ 21, first we want to find what numbers for "n" make the inequality true. Start by subtracting 3 from both sides to get -6n ≥ 18. Then, divide both sides by -6 (remembering to flip the inequality sign) to find that n ≤ -3.
This means that any number less than or equal to -3 will make the inequality true. We can represent this on a number line by putting a closed circle at -3 and shading all the numbers to the left of -3, including -3.