eight times the sun of a number and 24 is at least 26

Answer 1

x = number

at least means ≥

Eight times the sum of a number and 24 is at least 26 means:

8 ( x + 24 ) ≥ 26

8 ∙ x + 8 ∙ 24 ≥ 26

8 x + 192 ≥ 26

Subtract 192 to both sides

8 x ≥ - 166

x ≥ - 166 / 8

x ≥ - 2 ∙ 83 / 2 ∙ 4

x ≥ - 83 / 4