how to write an inequality

Question

one fourth a number, increased by 3/8, is less than or equal to 1/16

Answer 1

Let x be the variable number:

• one fourth of the number: (1/4)x
• increased by 3/8: (1/4)x + 3/8
• is less than or equal to 1/16: ≤ 1/16

 

(1/4)x + 3/8 ≤ 1/16

 

Subtract 3/8 from both sides:

 

(1/4)x  ≤ -5/16

 

Multiply both sides by 4:

 

x ≤ -5/4