( 3 a - ( a - 1 ) \leq 4 a + 15
Solve for a
a\geq -7
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3a-a-\left(-1\right)\leq 4a+15
To find the opposite of a-1, find the opposite of each term.
3a-a+1\leq 4a+15
The opposite of -1 is 1.
2a+1\leq 4a+15
Combine 3a and -a to get 2a.
2a+1-4a\leq 15
Subtract 4a from both sides.
-2a+1\leq 15
Combine 2a and -4a to get -2a.
-2a\leq 15-1
Subtract 1 from both sides.
-2a\leq 14
Subtract 1 from 15 to get 14.
a\geq \frac{14}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
a\geq -7
Divide 14 by -2 to get -7.
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