Question

plz answer this question with perfect explanation​

Answer 1

It's a Modulus function

i.e. |-x| = +x

1)

(i) |3 - 5| = |-2| = 2

(ii) |15| + |-15| = 15 + 15 = 30

(iii) -|3| x |7| = -3 x 7 = -21

(iv) |-3| x 7 = 3 x 7 = 21

(v) |3| = 3

(vi) |-3| = 3

(vii) |0| = 0

(viii) |9 - 5| = |4| = 4

(ix) |8 - 13| = |-5| = 5

(x) |8| - |-3| = 8 - 3 = 5

2)

(i) |x - 5| = 2

→ x - 5 = ± 2

→ x = 2 + 5 OR x = -2 +5

Hence, x = 7 & 3

(ii) |5 - x/2| = 1/4

→ (10 - x)/2 = ± 1/4

→ (10 - x) = ± 1/2

→ x = 10 - 1/2 OR x = 10 + 1/2

Hence, x = 19/2 & 21/2

(iii) |3x - 5| = 1

→ 3x - 5 = ± 1

→ 3x = 1 +5 OR 3x = -1 + 5

→ x = 6/3 OR x = 4/3

Hence, x = 2 & 4/3