Question

Solve for xxx.
3x-8\leq 23\quad \maroonC{\text{ AND }} \quad -4x+26\geq63x−8≤23 AND −4x+26≥63, x, minus, 8, is less than or equal to, 23, start color #ed5fa6, start text, space, A, N, D, space, end text, end color #ed5fa6, minus, 4, x, plus, 26, is greater than or equal to, 6
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
x\leq \dfrac{31}3x≤
3
31
​
x, is less than or equal to, start fraction, 31, divided by, 3, end fraction

(Choice B)
B
x\leq5x≤5x, is less than or equal to, 5

(Choice C, Checked)
C
5 \leq x \leq \dfrac{31}{3}5≤x≤
3
31
​
5, is less than or equal to, x, is less than or equal to, start fraction, 31, divided by, 3, end fraction

(Choice D)
D
There are no solutions

(Choice E)
E
All values of xxx are solutions

Answer 1

Answer:

5≤x≤31/3

5, is less than or equal to, x, is less than or equal to, start fraction, 31, divided by, 3, end fraction

Step-by-step explanation:

Given two inequalities

3x-8≤23 and −4x+26≥6

Solving both individually for x

For the inequality 3x-8≤23

Moving -8 to the other side;

3x ≤ 23+8

3x≤31

x≤31/3... 1

For inequality −4x+26≥6

Taking 26 to the other side, we have:

-4x ≥ 6-26

-4x ≥ -20

Dividing both sides by -4

x≥20/4 .

x≥5 ... 2

Combining both inequality 1 and 2, we have:

5≤x≤31/3

Answer 2

Hi There Answer All Values Of XXX Are Solutions.

Step-by-step explanation: Hoped I Helped :)