If x > 2 and x < 3 then which of the following is positive? 

(1) (x - 2)(x - 3) 

(II) (2 - x)(x - 3) 

(III) (2 - x)(3 - x)

Created: 1 month ago | Updated: 3 weeks ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ১০ ব্যাংক ও আর্থিক প্রতিষ্ঠান || অফিসার (জেনারেল) (08-03-2024) গণিত
28
Add Description
Best Description

So x is between 2 and 3.

X is more than 2, so x – 2 will be positive. X is less than 3, so x – 3 will be negative. (x – 2)(x – 3), then, is a positive times a negative, and is thus negative.

X is more than 2, so 2 – x will be negative. We already know that x – 3 is negative, so (2 – x)(x – 3) is a negative times a negative, and is thus definitely positive.

X is less than 3, so 3 – x will be positive. 2 – x is negative, so (2 – x)(3 – x) is a negative times a positive, which is negative.

We can see then, that only (2 – x)(x – 3) is positive.

1 month ago
1 0
মিল্কি ওয়ে

Related Questions

The ratio of two numbers is 7:4, if 8 is added to both the number ration becomes 13:8 what is the smaller number?

Created: 2 months ago | Updated: 2 weeks ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) Senior Officer- 8 Bank Recruitment Test 31-08-2018 গণিত
766
Add Description

A boat traved with a speed of 10 km/hr in still water. If the speed of the stream is 3 km/hr then find time taken by boat to travel 52 km downstream.

Created: 2 months ago | Updated: 2 weeks ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) Senior Officer- 8 Bank Recruitment Test 31-08-2018 গণিত
420
Add Description

What percent of 700 is 2.1 ?

Created: 2 months ago | Updated: 2 weeks ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ব্যাংক অফিসার (ক্যাশ) ।। (02-06-2023) গণিত
594
Add Description

A ans B can do a work in 12 days. B can do the same work in 18 days. In how many days A can complete the 2/3 of the same work?

Created: 2 months ago | Updated: 2 weeks ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) Senior Officer- 8 Bank Recruitment Test 31-08-2018 গণিত
633
Add Description

How many feet is equal to 1 nautical mile?

Created: 2 months ago | Updated: 2 weeks ago
Job Solution Combined Bank (সমন্বিত ব্যাংক) সমন্বিত ৪ ব্যাংক - সহকারী প্রোগ্রামার - 25.09.2020 গণিত
306
Add Description