Solve the inequality 2n -3 ≥ 5 and graph the solutions
1 answer:
Answer: n ≥ 4
Step-by-step explanation: To solve for <em>x</em> in this inequality, your goal is the same as it would be if you were solving an equation which is to get <em>x</em> by itself on one side of the inequality.
Since 3 is being subtracted from 2n, add 3 to both sides of the inequality to get 2n ≥ 8. Now since <em>n</em> is being multiplied by 2, we need to divide by 2 on both sides of the inequality to get <em>n ≥ 4</em>.
Our next task is to graph <em>n ≥ 4 </em>on a number line and to do that, we start with a closed dot at 4. The reason we use a closed dot at 4 is because not only is <em>n</em> greater than 4 but it's also equal to 4. Next we draw an arrow going to the right on our number line to represent all numbers greater than 4.
When graphed, it should look something like the image attached.
You might be interested in
First, let's find g(4). After we find it, we can substitute the value into .
To find g(4), we need to substitute x = 4 into the function , as shown below:
Now that we have found g(4) = 9, we can substitute this value in for in
.
f(g(4)) is equal to 28.