(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
