Part 1) ![r\geq \sqrt[3]{-6}](/tpl/images/0353/9833/9ec57.png)
Part 2)
Part 3) ![z\leq6](/tpl/images/0353/9833/92a85.png)
Part 4) ![t-7](/tpl/images/0353/9833/81c00.png)
Part 5) ![q](/tpl/images/0353/9833/55dc7.png)
Part 6) ![p\geq -121/13](/tpl/images/0353/9833/c80ed.png)
Step-by-step explanation:
Part 1)
Multiply by -1 both sides
![r\geq \sqrt[3]{-6}](/tpl/images/0353/9833/9ec57.png)
![r\geq -1.817](/tpl/images/0353/9833/b3aad.png)
The solution is the interval -------> [-1.817,∞)
The solution in the attached figure N 1
Part 2)
rewrite
Multiply by -1 both sides
The solution is the interval--------> (0.09,∞)
The solution in the attached figure N 2
Part 3) ![z-2-6\leq-2](/tpl/images/0353/9833/e1735.png)
combine like terms
Adds 8 both sides
![z\leq-2+8](/tpl/images/0353/9833/d3f13.png)
![z\leq6](/tpl/images/0353/9833/92a85.png)
The solution is the interval--------> (-∞,6]
The solution in the attached figure N 3
Part 4)
Adds 5 both sides
![-2t](/tpl/images/0353/9833/4abaf.png)
![-2t](/tpl/images/0353/9833/5b1fa.png)
Multiply by -1 both sides
![2t-14](/tpl/images/0353/9833/ea5bb.png)
Divide by 2 both sides
![t-7](/tpl/images/0353/9833/81c00.png)
The solution is the interval--------> (-7,∞)
The solution in the attached figure N 4
Part 5) ![7(q+2)](/tpl/images/0353/9833/88863.png)
applying distributive property left side
![7q+14](/tpl/images/0353/9833/ad3bc.png)
Subtract 14 both sides
![7q](/tpl/images/0353/9833/75779.png)
![7q](/tpl/images/0353/9833/91ff0.png)
Divide by 7 both sides
![q](/tpl/images/0353/9833/95609.png)
![q](/tpl/images/0353/9833/55dc7.png)
The solution is the interval--------> (-∞,-13)
The solution in the attached figure N 5
Part 6) ![-13(p+9)\leq4](/tpl/images/0353/9833/6c073.png)
applying distributive property left side
![-13p-117\leq4](/tpl/images/0353/9833/b6947.png)
Adds 117 both sides
![-13p\leq4+117](/tpl/images/0353/9833/9d433.png)
![-13p\leq 121](/tpl/images/0353/9833/6a4f0.png)
Divide by -1 both sides
![13p\geq -121](/tpl/images/0353/9833/d0f24.png)
Divide by 13 both sides
![p\geq -121/13](/tpl/images/0353/9833/c80ed.png)
![p\geq -9.31](/tpl/images/0353/9833/01ad6.png)
The solution is the interval--------> [-9.31,∞)
The solution in the attached figure N 5
![1.)solve the inequality. graph the solution.−r3≤6the solution is.2.)solve the inequality. graph the](/tpl/images/0353/9833/b6c38.jpg)
![1.)solve the inequality. graph the solution.−r3≤6the solution is.2.)solve the inequality. graph the](/tpl/images/0353/9833/883b6.jpg)
![1.)solve the inequality. graph the solution.−r3≤6the solution is.2.)solve the inequality. graph the](/tpl/images/0353/9833/9b441.jpg)
![1.)solve the inequality. graph the solution.−r3≤6the solution is.2.)solve the inequality. graph the](/tpl/images/0353/9833/9cec0.jpg)
![1.)solve the inequality. graph the solution.−r3≤6the solution is.2.)solve the inequality. graph the](/tpl/images/0353/9833/7b879.jpg)