Solve the inequality for t: 0.1−2t≥0.7

(1): "0.7" was replaced by "(7/10)". 2 more similar replacement(s)

Rearrange the equation by subtracting what is to the right of the greater equal sign from both sides of the inequality :

(1/10)-2*t-((7/10))≥0

7
Simplify ——
10

1 7
(—— - 2t) - —— ≥ 0
10 10

1
Simplify ——
10

1 7
(—— - 2t) - —— ≥ 0
10 10

Subtracting a whole from a fraction

Rewrite the whole as a fraction using 10 as the denominator :

2t 2t • 10
2t = —— = ———————
1 10
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

Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 - (2t • 10) 1 - 20t
————————————— = ———————
10 10

(1 - 20t) 7
————————— - —— ≥ 0
10 10

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:

(1-20t) - (7) -20t - 6
————————————— = ————————
10 10

5.1 Pull out like factors :

-20t - 6 = -2 • (10t + 3)

Equation at the end of step
5
:

-2 • (10t + 3)
—————————————— ≥ 0
10
STEP
6
:

6.1 Multiply both sides by 10

6.2 Divide both sides by -2

Remember to flip the inequality sign:

6.3 Divide both sides by 10

t+(3/10) ≤ 0

Solve Basic Inequality :

6.4 Subtract 3/10 from both sides

t ≤ -3/10

Inequality Plot :

6.5 Inequality plot for

-2.000 X - 0.600 ≤ 0

And the final answer is

t ≤ -3/10

If you need an equation, it would be y=2x+8, y would be how long it grew, x being weeks.if you need how long he was asleep, it would be 4 weeks if he started with no beard, the equation would be x=8÷2if he did have a beard before hand, the equation would be 2w+x=8