Choose the correct solution and graph for the inequality.
z-6 <5-14
To solve the inequality z-6 < 5-14, we first need to simplify both sides of the inequality.
Simplifying the left side, we have z-6.
Simplifying the right side, we have 5-14 which is -9.
So, the inequality becomes z-6 < -9.
Next, we can add 6 to both sides of the inequality to isolate the variable z.
z - 6 + 6 < -9 + 6
This simplifies to z < -3.
So, the correct solution to the inequality is z < -3.
To graph this solution on a number line, we draw an open circle at -3 and shade to the left of -3 to represent all values less than -3.
Here is the graph of the inequality z < -3:
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