−2z+3<−5−2𝑧+3<−5Step 2 of 2 : Graph the solution to the given inequality.
Question
−2z+3<−5−2𝑧+3<−5Step 2 of 2 : Graph the solution to the given inequality.
Solution
It seems like there's a mistake in your question as it's repeated twice and there's no specific inequality given to solve. However, I'll guide you on how to solve and graph a similar inequality.
Let's take the inequality -2z + 3 < -5.
Step 1: Solve the inequality To isolate z, you first subtract 3 from both sides of the inequality:
-2z + 3 - 3 < -5 - 3 -2z < -8
Then, divide both sides by -2. Remember, when you divide or multiply an inequality by a negative number, the direction of the inequality sign changes:
z > 4
Step 2: Graph the solution To graph this solution on a number line:
- Draw a number line and mark the point that corresponds to 4.
- Since z is greater than 4 (and not equal to 4), you make an open circle at 4.
- As z is greater than 4, you draw an arrow pointing to the right from 4.
This graph represents all the possible values for z that satisfy the inequality -2z + 3 < -5.
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