Question

In which set do all of the values make the inequality 2x-1<10 true ? A)10-15-20. B)5-7-9 C)4-6-8. D)2-3-4

Answer 1

D is true

`2x - 1 < 10 \\ 2 * (2) - 1 = 3 \\ 2 * (3) - 1 = 5 \\ 2 * (4) - 1 = 7`

Answer 2

Hence, the set of values that holds true is:

2-3-4

Hence, option: D is true.

Explanation:

We are asked to find which set of the values make the following inequality:

2x-1<10 true.

i..e we will put the given set of value s in place of xx and check whether the value of 2x-1 is less than 10 or not.

If it is then the set of values hold true.

A)

10-15-20

put x=10

2x-1=2×10-1

=20-1

=19 which is not less than 10.

Hence, option: A is incorrect.

B)

5-7-9

when x=9

2x-1=2×9-1

=18-1

=17 which is not less than 10.

Hence, option: B is incorrect.

C)

4-6-8

when x=8

2x-1=2×8-1

=16-1

=15 which is again not less than 10

Hence, option: C is incorrect.

D)

2-3-4

when x=2

2x-1=2×2-1

=4-1

=3<10

when x=3

2x-1=2×3-1

=6-1

=5 < 10

when x=4

2x-1=2×4-1

=8-1

=7<10

Hence, option: D is true.

Hence, the set of values that holds true is:

2-3-4