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How do you solve and graph #4x<16# or #8x>16#?

Answer 1

Avery Alexander

Solve and graph
4x < 16 (1)
8x > 16 (2)

(1) --> #x < 16/4 = 4# (2) --> #x > 16/8 = 2#

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Answer by open interval (2, 4)

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Answer 2

Kennedy Adams

To solve and graph \( 4x < 16 \) or \( 8x > 16 \), follow these steps: 1. Solve each inequality separately. 2. Graph each solution on a number line. 3. Combine the graphs to represent the solution to the compound inequality. For \( 4x < 16 \): 1. Divide both sides by 4 to isolate x. 2. \( x < 4 \) For \( 8x > 16 \): 1. Divide both sides by 8 to isolate x. 2. \( x > 2 \) Graphing on a number line: - For \( x < 4 \), draw an open circle at 4 and shade to the left. - For \( x > 2 \), draw an open circle at 2 and shade to the right. Combining the graphs: - The solution to \( 4x < 16 \) or \( 8x > 16 \) is the union of the shaded regions. - So, the solution is \( x < 4 \) or \( x > 2 \), which can be represented as \( x < 4 \) or \( x > 2 \).

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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 #4x&lt;16# or #8x&gt;16#?

How do you solve and graph #4x<16# or #8x>16#?