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Chapter 3: Q. 3 (page 151)

Solve the inequality. Graph and check your solution.

4x+1>1

Short Answer

Expert verified

Solution of the inequality is x>0.

Step by step solution

01

Step-1- Solve the inequality

4x+1>14x+1−1>1−1Subtract1frombothsides4x>0x>0Dividebothsidesby4

02

Step-2- Graph the inequality

The solution of the inequality isx>0.

That means, all valuesx>0 satisfy the inequality. So, the graph can be given as shown below.

03

Step-3- Check the solution

To check the solution, take any random number,x>0 and substitute in the original inequality and observe the result.

Takex=2.

Then,

4×2+1>18+1>19>1

Observe that 9 is greater than 1. So, the result is true and hence the solution is correct.

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Most popular questions from this chapter

NASA pilot must log at least 1000 hours as pilot – in – command of a jet aircraft. A NASA pilot has completed all other qualification and has 250 hours logged. How many more hours must the pilot log to become a pilot astronaut?

  1. Write an inequality to represent the situation.
  2. Solve the inequality. Draw the graph and check the solution.
  3. Interpret the solutions in terms of the real – life situations.

Pasta Machine A pasta machine cost \(33. The ingredients to make one batch of pasta cost \).33. The same amount of pasta purchased at a store costs $.99. How many batches of pasta will you have to make for the cost of machine and ingredients to equal the cost of buying the same amount of pasta at the store?

Write an equality to represent the situation. “You must be at least48 inches tall to ride the roller coaster”.

Solve the equation. Check your solution.

4x+1=5

Solve the equation. Check your solution.-12=-2h+0.2(20-6h)
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