Answer:
c≤ 24/25
Explanation:
"0.3" was replaced by "(3/10)". 2 more similar replacement(s). Simplify 3/10
61 3
(—— - ——) - (c + 1) ≥ 0 then simplify 61/10
10 10
3.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
61 - (3) 29
———————— = ——
10 5
29
—— - (c + 1) ≥ 0
5
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 5 as the denominator :
c + 1 (c + 1) • 5
c + 1 = ————— = ———————————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Rewrite the whole as a fraction using 5 as the denominator :
c + 1 (c + 1) • 5
c + 1 = ————— = ———————————
1 5
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
29 - ((c+1) • 5) 24 - 5c
———————————————— = ———————
5 5
24 - 5c
——————— ≥ 0
5
Multiply both sides by 5
5.2 Multiply both sides by (-1)
Flip the inequality sign since you are multiplying by a negative number
5c-24 ≤ 0
5.3 Divide both sides by 5
c-(24/5) ≤ 0
5.4 Add 24/5 to both sides
c ≤ 24/5