Question

solve the following

3/+1−1/2=2/3−1​

Answer 1

Step-by-step explanation:

$Given: −3x≤2x−131<61</p><p>Taking L.C.M. of 3,2 and 6 is 6.</p><p>−3x×6≤2x×6−34×6<61×6</p><p>−2x≤3x−8<1</p><p>⇒−2x≤3x−8 and 3x−8<1</p><p>⇒8≤3x+2x     ⇒3x<1+8</p><p>⇒8≤5x        ⇒3x<9</p><p>⇒58≤x     ⇒x<3</p><p>∴ The solution set is {x:1.6≤x≤3,xϵR</p><p></p><p>$

Answer 2

Answer :

• False .

Step-by-step Explanation :

• ➟ 3 – ½ = ⅔ – 1.
• ➟ (6 – 1/2) = (2 – 3/3).
• ➟ (5/2) = –⅓.
• ➟ (15/6) = –(2/6).
• ➟ False.

Method Used :

• Convert 3 to fraction {6}/{2}.
• Since {6}/{2} and ½ have the same denominator, subtract them by subtracting their numerators.
• Subtract 1 from 6 to get 5.
• Convert 1 to fraction 3/3.
• Since ⅔ and {3}/{3} have the same denominator, subtract them by subtracting their numerators.
• Subtract 3 from 2 to get -1.
• Least common multiple of 2 and 3 is 6. Convert {5}/{2} and -⅓ to fractions with denominator 6.
• Compare {15}/{6} and -{2}/{6}.