Question

solve the inequality and graph the solution.

m - 19 < -17

to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

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Explanation:

Step1: Isolate the variable \(m\)

Add \(19\) to both sides of the inequality \(m - 19<-17\).
$$m-19 + 19<-17+19$$

Step2: Simplify both sides

Simplify the left - hand side: \(m-19 + 19=m\).
Simplify the right - hand side: \(-17 + 19 = 2\).
So, \(m<2\).

To graph \(m < 2\):

• Plot an open circle at \(m = 2\) (because the inequality is strict, \(m

eq2\)).

• Draw a ray to the left of \(2\) (since \(m\) is less than \(2\)).

Answer:

The solution of the inequality is \(m<2\). On the number line, there is an open circle at \(2\) and a ray extending to the left.