Solve each inequality and graph its solution.
7) 10-4-9x+10 >-22
A) ² - < x
9
2: ++
-7 -6 -5 -4 -3 -2 -1 0 1
B) −1≤x≤---:
3
C) -10 < x≤5:0
-3 -2 -1 0 1
-10 -8
D) -10 ≤ x <-4: +
-12 -10
+
+ + + +
2 3 4 5 6
-4
-6
-2
-8
2 3 4 5
-6
0
2
-4
+
7 89
4
-2
6
0

The inequality symbol is >, which does not include the "or equal to" case. This means the solution graph will not have any closed dots. That eliminates all but answer choice A.

Solution

Subtracting 10, we have ...

-4|-9x +10| > -32

Dividing by -4 gives ...

|-9x +10| < 8

Unfolding the absolute value makes the compound inequality ...

-8 < -9x +10 < 8

Subtracting 10 gives ...

-18 < -9x < -2

Finally, dividing by -9 leaves us with ...

2 > x > 2/9

The solution is 2/9 < x < 2. The graph is choice A.

<95141404393>

Solve each inequality and graph its solution. 7) 10-4-9x+10 >-22 A) ² - < x 9 2: ++ -7 -6 -5 -4 -3 -2 -1 0 1 B) −1≤x≤---: 3 C) -10 < x≤5:0 -3 -2 -1 0 1 -10 -8 D) -10 ≤ x <-4: + -12 -10 + + + + + 2 3 4 5 6 -4 -6 -2 -8 2 3 4 5 -6 0 2 -4 + 7 89 4 -2 6 0

Answer :

Graph

Solution

Other Questions

Solve each inequality and graph its solution.
7) 10-4-9x+10 >-22
A) ² - < x
9
2: ++
-7 -6 -5 -4 -3 -2 -1 0 1
B) −1≤x≤---:
3
C) -10 < x≤5:0
-3 -2 -1 0 1
-10 -8
D) -10 ≤ x <-4: +
-12 -10
+
+ + + +
2 3 4 5 6
-4
-6
-2
-8
2 3 4 5
-6
0
2
-4
+
7 89
4
-2
6
0