Solve each inequality, then graph on the number line.

show your work
z+1/2 ≥-1/2

To solve for z, we will isolate the variable by subtracting 1/2 from both sides of the inequality:

z+1/2-1/2 ≥ -1/2-1/2

This simplifies to:

z ≥ -1

To graph this inequality on a number line, we will draw a closed circle at -1 and shade to the right since z is greater than or equal to -1.

<-------------●====================>

-2 -1 0 1 2 3

Therefore, the solution and graph of the inequality z + 1/2 ≥ -1/2 is z ≥ -1.

Evaluating a Novel Portfolio

To evaluate a novel portfolio, there are several steps you can take:

1. Determine the investment objectives: Before evaluating the portfolio, it’s important to have a clear understanding of the investment objectives it’s designed to achieve. These objectives can vary widely depending on the investor’s risk tolerance, financial goals, time horizon, and other factors.

2. Review the asset allocation: The asset allocation is the mix of different types of investments in the portfolio, such as stocks, bonds, real estate, and alternative investments. You should review the asset allocation to make sure it aligns with the investment objectives and risk tolerance of the investor.

3. Analyze the individual investments: Once the asset allocation has been reviewed, you should analyze the individual investments in the portfolio. This involves looking at factors such as the historical performance, risk profile, fees, and liquidity of each investment.

4. Evaluate the portfolio’s performance: After analyzing the individual investments, you should evaluate the portfolio’s overall performance. This involves comparing its performance against a benchmark index that represents a similar investment strategy.

5. Consider the economic landscape: Finally, it’s important to evaluate the portfolio in the context of the current economic landscape. Factors such as interest rates, inflation, and geopolitical risks can all have an impact on the performance of the portfolio.

By following these steps, you can gain a better understanding of the strengths and weaknesses of the novel portfolio and make informed decisions about future investment strategies.

Which should a speaker use to support a claim?(1 point)

Responses

persuasion
persuasion

call to action
call to action

opinions
opinions

evidence
evidence

Evidence.

How does relevant evidence support a speaker’s argument?(1 point)

Responses

The information is interesting.
The information is interesting.

It is related directly to the claim.
It is related directly to the claim.

It captures the audience’s attention.
It captures the audience’s attention.

The opinions are stated clearly.

It is related directly to the claim.

Which term describes the use of enough information to support a claim?(1 point)

Responses

sufficient evidence
sufficient evidence

interesting evidence
interesting evidence

relevant evidence
relevant evidence

important evidence

Sufficient evidence.

Which makes a speaker’s argument most convincing?(1 point)

Responses

researching the topic thoroughly
researching the topic thoroughly

using relevant and sufficient evidence
using relevant and sufficient evidence

including many opinions
including many opinions

providing a call to action