Question

1. solve the inequality 8x ≤ 48

A x ≤ 6
B x ≤ 40
C x ≤ 56
D x ≤ 384

2. solve the inequality 10 + x > 23
A x > 2.3
B x > 13
C x > 33
D x > 230

3. solve the inequality x - 14 ≤ 28
A x ≤ 2
B x ≤ 14
C x ≤ 42
D x ≤ 392


4. solve the inequality 7 /21 < 3
A y < 7
B y < 24
C y < 18
D y < 63

which values can be submitted for x to make the inequality x - 4 ≥ 0 true? choose all that apply.
A 0
B 3
C 4
D 18

Answer 1

1.8x≤48
x≤6 (A)
2.10+x>23
x>13(B)
3.x-14≤28
x≤42(C)
4.There are no y in the inequality
5.x-4≥0
4=4,18≥4
So C and D are the answer

Answer 2

Part 1: A. x ≤ 6

Part 2: B. x > 13

Part 3: C. x ≤ 42

Part 4: Option C and D

Explanation:

Given the questions of inequality in parts we have to solve these inequality.

Part 1: 8x ≤ 48

Dividing by 8 on both sides, we get

`(8x)/(8)\leq (48)/(8)`

`x\leq 6`

Option A is correct.

Part 2: 10 + x > 23

Subtracting 10 from both sides, we get

`10+x-10> 23-10`

`x> 13`

Option B is correct.

Part 3: x - 14 ≤ 28

Adding 14 on both sides, we get

`x-14+14\leq 28+14`

`x\leq 42`

Option C is correct.

Part 4: x - 4 ≥ 0

we have to choose the values which can be submitted for x to make the inequality x - 4 ≥ 0 true

Adding 4 on both sides

x - 4+4 ≥ 0+4

x ≥ 4

Since 4 and 18 are only two numbers ≥ 4.

Hence, the correct option is C and D