Question

Which value for x makes the open sentence true?

4 • 3 - 2x < X to the 2nd power - 2

A. 0
B. 1
C. 2
D. 3

Same question.

6 • 7 – 5x + x2 ≥ x3 + x2

A. 5
B. 6
C. 4
D. 3



Which symbol creates a true sentence when x equals 3?

8 • 3 – 4x _____ 7(10 – x)

A. >
B. <
C. =
D. ≈



Which symbol creates a true sentence when x equals 8?

9 • 4 – 2x _____ 5(11– x)

A. =
B. >
C. <
D. ≈

Please help me A.S.Y.C.

Answer 1

9. 4- 2(8) = -12
55-40 = 15
so C is true
8. B

3 and 6 i dont know . seems : 4 . C & D are both correct
6 . All correct

Answer 2

we know that

The easiest way to find the number that makes the statement true is to substitute the given answers into the equation.

so

Part 1)

`4.3-2x < x^(2) -2`

a) For
`x=0`

`4.3-2*0 < 0^(2) -2`

`12 < -2` -----> is false

b) For
`x=1`

`4.3-2*1 < 1^(2) -2`

`10 < -1` -----> is false

c) For
`x=2`

`4.3-2*2 < 2^(2) -2`

`8 < 2` -----> is false

d) For
`x=3`

`4.3-2*3 < 3^(2) -2`

`6 < 7` -----> is true

therefore

the answer part 1) is the option D

`x=3`

Part 2)

`6*7-5x+x^(2) \geq x^(3) +x^(2)`

a) For
`x=5`

`6*7-5*5+5^(2) \geq 5^(3) +5^(2)`

`42 \geq 150` ----> is false

b) For
`x=6`

`6*7-5*6+6^(2) \geq 6^(3) +6^(2)`

`48 \geq 252` ----> is false

c) For
`x=4`

`6*7-5*4+4^(2) \geq 4^(3) +4^(2)`

`38 \geq 80` ----> is false

d) For
`x=3`

`6*7-5*3+3^(2) \geq 3^(3) +3^(2)`

`36 \geq 36` ----> is True

therefore

the answer Part 2) is the option D

`x=3`

Part 3)

we have

`8*3-4x\ (\ )\ 7*(10-x)`

For
`x=3`

`8*3-4*3\ (\ )\ 7*(10-3)`

`12\ (\ )\ 49`

we know that

`12 < 49`

therefore

the answer Part 3) is the option B

`<`

Part 4)

we have

`9*4-2x\ (\ )\ 5*(11-x)`

For
`x=8`

`9*4-2*8\ (\ )\ 5*(11-8)`

`20\ (\ )\ 15`

we know that

`20 > 15`

therefore

the answer Part 4) is the option B

`>`