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How do you solve and graph #x+14< -11#?

Answer 1

Abigail Allen

See a solution process below:

Subtract #color(red)(14)# from each side of the inequality to solve for #14# while keeping the equation balanced:

#x + 14 - color(red)(14) < -11 - color(red)(14)#

#x + 0 < -25#

#x < -25#

To graph this we will draw a vertical line at #-25# on the horizontal access.

The line will be dashed because the inequality DOES NOT contain an "or equal to" clause so the line is not part of the solution set.

We will shade to the left of the line because the inequality has a "less than" clause.

graph{x<-25 [-60, 20, -20, 20]}

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Answer 2

Jace Anderson

To solve the inequality x + 14 < -11, first, isolate x:

x + 14 < -11 x < -11 - 14 x < -25

To graph the solution on a number line, plot an open circle at -25 (since x is less than, not equal to, -25) and shade to the left of -25.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve and graph #x+14&lt; -11#?

How do you solve and graph #x+14< -11#?