## Maharashtra State Board Class 9 Maths Solutions Chapter 2 Real Numbers Practice Set 2.5

Question 1.

Find the value.

i. | 15 – 2|

ii. | 4 – 9|

iii. | 7| x | -4|

Solution:

i. |15 – 2| = |13| = 13

ii. |4 – 9| = |-5| = 5

iii. |7| x |- 4| = 7 x 4 = 28

Question 2.

Solve.

Solution:

i. |3x – 5| = 1

∴ 3x – 5 = 1 or 3x – 5 = -1

∴ 3x = 1 + 5 or 3x = -1 + 5

∴ 3x = 6 or 3x = 4

ii. |7 – 2x| = 5

∴ 7 – 2x = 5 or 7 – 2x = -5

∴ 7 – 5 = 2x or 7 + 5 = 2x

∴ 2x = 2 or 2x = 12

∴ x = \(\frac { 2 }{ 2 }\) or x = \(\frac { 12 }{ 2 }\)

∴ x = 1 or x = 6

∴ 8 – x = 10 or 8 – x = -10 .. [Multiplying both the sides by 2]

∴ 8 – 10 = x or 8 + 10 = x

∴ x = -2 or x = 18