Asked by maria
solve and grapgh 4-4x > 16 and 6x-1 > 11
Answers
Answered by
Abby Clark
4-4x > 16
Since 4 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 4 from both sides.
-4x>-4+16
Add 16 to -4 to get 12.
-4x>12
Divide each term in the inequality by -4.
- 4x/-4<12/-4
Simplify the left-hand side of the inequality by canceling the common factors.
x<12/-4
Simplify the right-hand side of the inequality by simplifying each term
Answer is x<-3
6x-1>11
Since -1 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 1 to both sides.
6x>1+11
Add 11 to 1 to get 12.
6x>12
Divide each term in the inequality by 6.
6x?6>12/6
Simplify the left-hand side of the inequality by canceling the common factors
x>12/6
Simplify the right-hand side of the inequality by simplifying each term.
Answer is x>2
Since 4 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 4 from both sides.
-4x>-4+16
Add 16 to -4 to get 12.
-4x>12
Divide each term in the inequality by -4.
- 4x/-4<12/-4
Simplify the left-hand side of the inequality by canceling the common factors.
x<12/-4
Simplify the right-hand side of the inequality by simplifying each term
Answer is x<-3
6x-1>11
Since -1 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 1 to both sides.
6x>1+11
Add 11 to 1 to get 12.
6x>12
Divide each term in the inequality by 6.
6x?6>12/6
Simplify the left-hand side of the inequality by canceling the common factors
x>12/6
Simplify the right-hand side of the inequality by simplifying each term.
Answer is x>2
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