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​Select two numbers that make the inequality true.

2x – 3 > 1
A. 3/2


B. 10/2


C. 1


D. 2


E. 6.3





User Nedruod
by
8.3k points

1 Answer

3 votes

Answer:

B. 10/2, E. 6.3

Explanation:

First, you need to solve for x by isolating it on one side of the inequality. You can do this by adding 3 to both sides and then dividing by 2:

2x - 3 > 1

2x - 3 + 3 > 1 + 3

2x > 4

2x / 2 > 4 / 2

x > 2

Next, you need to find two numbers that are greater than 2 and plug them into the inequality to check if they make it true. You can choose any numbers that are larger than 2, but it is easier to pick from the given options. For example, let’s try A. 3/2 and B. 10/2:

A. x = 3/2

2(3/2) - 3 > 1

3 - 3 > 1

0 > 1, False

B. x = 10/2

2(10/2) - 3 > 1

10 - 3 > 1
7 > 1, True

Then, you need to repeat the same process for the remaining options until you find another number that makes the inequality true. For example, let’s try C. 1, D. 2, and E. 6.3:

C. x = 1

2(1) - 3 > 1

2 - 3 > 1

-1 > 1 False

D. x = 2

2(2) - 3 > 1

4 - 3 > 1

1 > 1, False

E. x = 6.3

2(6.3) - 3 > 1

12.6 - 3 > 1

9.6 > 1, True

Finally, you need to select the two numbers that make the inequality true from the options. The answer is B. and E. B. 10/2 and E. 6.3 are two numbers that make the inequality true.

User HaC
by
7.3k points