1.)Solve the inequality. Graph the solution. −r3≤6 The solution is. 2.)Solve the inequality. Graph the solution. −4>−43s The solution is. 3.)Solve the inequality. Graph the solution. z−2−6≤−2 The solution - QAmmunity.org

1.)Solve the inequality. Graph the solution. −r3≤6 The solution is. 2.)Solve the inequality. Graph the solution. −4>−43s The solution is. 3.)Solve the inequality. Graph the solution. z−2−6≤−2 The solution

asked Jan 5, 2020 66.1k views

1 Answer

Answer:

Part 1)
$r\geq \sqrt[3]{-6}$

Part 2)
s>4/43

Part 3)
$z\leq6$

Part 4)
t>-7

Part 5)
q<-13

Part 6)
$p\geq -121/13$

Step-by-step explanation:

Part 1)
$-r^(3)\leq 6$

Multiply by -1 both sides

$r^(3)\geq -6$

$r\geq \sqrt[3]{-6}$

$r\geq -1.817$

The solution is the interval -------> [-1.817,∞)

The solution in the attached figure N 1

Part 2)
-4>-43s

rewrite

-43s<-4

Multiply by -1 both sides

43s>4

s>4/43

s>0.09

The solution is the interval--------> (0.09,∞)

The solution in the attached figure N 2

Part 3)
$z-2-6\leq-2$

combine like terms

$z-8\leq-2$

Adds 8 both sides

$z\leq-2+8$

$z\leq6$

The solution is the interval--------> (-∞,6]

The solution in the attached figure N 3

Part 4)
-2t-5<9

Adds 5 both sides

-2t<9+5

-2t<14

Multiply by -1 both sides

2t>-14

Divide by 2 both sides

t>-7

The solution is the interval--------> (-7,∞)

The solution in the attached figure N 4

Part 5)
7(q+2)<-77

applying distributive property left side

7q+14<-77

Subtract 14 both sides

7q<-77-14

7q<-91

Divide by 7 both sides

q<-91/7

q<-13

The solution is the interval--------> (-∞,-13)

The solution in the attached figure N 5

Part 6)
$-13(p+9)\leq4$

applying distributive property left side

$-13p-117\leq4$

Adds 117 both sides

$-13p\leq4+117$

$-13p\leq 121$

Divide by -1 both sides

$13p\geq -121$

Divide by 13 both sides

$p\geq -121/13$

$p\geq -9.31$

The solution is the interval--------> [-9.31,∞)

The solution in the attached figure N 5

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Hirdesh Vishwdewa answered Jan 12, 2020

by Hirdesh Vishwdewa

4.3k points

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