Study the words in italics in the sentences below. They are formed by prefixing un – or in – to their antonyms (words opposite in meaning).
• I was a short boy with rather undistinguished looks. (un + distinguished)
• My austere father used to avoid all inessential comforts.(in + essential)
• The area was completely unaffected by the war.(un + affected)
• He should not spread the poison of social inequality and communal intolerance. (in + equality, in + tolerance)
Now form the opposites of the words below by prefixing un- or in-. The prefix in-can also have the forms il-, ir-, or im- (for example: illiterate –il + literate, impractical – im + practical, irrational – ir + rational). You may consult a dictionary if you wish.
| ____adequate | _____acceptable | _____regular | ____tolerant |
| _____demanding | ______active | ____true | ____permanent |
| ___patriotic | ____disputed | ____accessible | _____coherent |
| ____logical | ____legal | ______responsible | _____possible |
inadequate unacceptable irregular intolerant
undemanding inactive untrue impermanent
unpatriotic undisputed inaccessible incoherent
illogical illegal irresponsible impossible
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a, b and c in each case:
(i) 2x + 3y = 9.35
(ii) x – \(\frac{y}{5}\)– 10 = 0
(iii) –2x + 3y = 6
(iv) x = 3y
(v) 2x = –5y
(vi) 3x + 2 = 0
(vii) y – 2 = 0
Which one of the following options is true, and why? y = 3x + 5 has
(i) a unique solution,
(ii) only two solutions,
(iii) infinitely many solutions