The solution to the problem -4(x - 3) ≤ 16 is that x is greater than or equal to ___.

Answer 1

The solution to the problem -4(x - 3) ≤ 16 is that x is greater than or equal to 7.

Answer 2

The solution to the problem -4(x - 3) ≤ 16 is that x is greater than or equal to ___.
Responses
A 1
B -1

Answer 3

The solution to the problem -4(x - 3) ≤ 16 is that x is greater than or equal to 7.

Answer 4

that' wrong

Answer 5

Apologies for the mistake. Let's solve the inequality correctly:

-4(x - 3) ≤ 16

First, we simplify the equation:

-4x + 12 ≤ 16

Next, we isolate the variable x:

-4x ≤ 4

To get rid of the negative coefficient -4, we divide both sides of the inequality by -4. Remember to reverse the inequality when dividing by a negative number:

x ≥ -1

Therefore, the correct solution to the inequality is that x is greater than or equal to -1.

Answer 6

In the equation, what is the value of x?

−4(x + 4x) = 2(2 − x) + 10
Responses
A −7/9
B −9/7
C 7/9
D 9/7

Answer 7

Let's solve the equation −4(x + 4x) = 2(2 − x) + 10.

First, simplify both sides of the equation:

-4(5x) = 4 - 2x + 10

-20x = -2x + 14

Next, let's isolate x by bringing all the x terms to one side and all the constant terms to the other side:

-20x + 2x = 14

-18x = 14

Now, divide both sides of the equation by -18:

x = 14 / -18

Simplifying the fraction,

x = -7/9

Therefore, the value of x in the equation is -7/9.

So, the correct option is A. −7/9.

Answer 8

The sum of 38 and twice a number x is 124. What is −2x − 5?
Responses
A −101
B −91
C 46
D 86

Answer 9

Let's solve the equation to find the value of x:

38 + 2x = 124

Subtract 38 from both sides:

2x = 124 - 38

2x = 86

Next, divide both sides by 2 to solve for x:

x = 86 / 2

x = 43

Now, substitute the value of x into the expression -2x - 5:

-2(43) - 5 = -86 - 5 = -91

Therefore, the correct answer is option B: -91.

Answer 10

Solve for x:

4 − 2(7 + 8x) = 12 − 6(2x − 7) + 4x
Responses
A −4−4
B −8−8
C 44
D 8

Answer 11

Let's solve the equation step by step:

4 − 2(7 + 8x) = 12 − 6(2x − 7) + 4x

First, simplify both sides of the equation:

4 - 14 - 16x = 12 - 12x + 42 + 4x

Combine like terms on each side:

-10 - 16x = 54 - 8x

Next, subtract 54 from both sides:

-10 - 16x - 54 = -8x

-64 - 16x = -8x

To eliminate the x term on the left side, add 16x to both sides:

-64 = 8x - 8x

-64 = 0

This equation is inconsistent and has no solution.

Therefore, there is no value of x that satisfies the equation.

The correct answer is: No solution.

Answer 12

Solve for x:
4 − 2(7 + 8x) = 12 − 6(2x − 7) + 4x
Responses
A −4
B −8
C 4
D 8

Answer 13

To solve for x in the equation 4 − 2(7 + 8x) = 12 − 6(2x − 7) + 4x, let's simplify step by step:

First, distribute -2 and -6 to their respective terms:

4 - 14 - 16x = 12 - 12x + 42 + 4x

Simplify further:

-10 -16x = 54 - 8x + 4x

Combine like terms:

-10 - 16x = 54 - 4x

To eliminate the x-term on the right side, we add 4x to both sides:

-10 - 16x + 4x = 54 - 4x + 4x

Simplifying:

-10 - 12x = 54

To isolate the x-term, we subtract -10 from both sides:

-10 - 12x - (-10) = 54 - (-10)

Simplifying:

-12x = 64

Next, we divide both sides by -12 to solve for x:

x = 64 / -12

Simplifying the fraction:

x = -16/3

Therefore, the value of x in the equation is -16/3.

So, the correct answer is not listed among the provided options.

Answer 14

that's wrong

Answer 15

Apologies for the mistake. Let's solve the equation correctly:

4 − 2(7 + 8x) = 12 − 6(2x − 7) + 4x

First, simplify the expressions inside the parentheses:

4 - 2(7) - 2(8x) = 12 - 6(2x) + 6(7) + 4x

Simplify further:

4 - 14 - 16x = 12 - 12x + 42 + 4x

Combine like terms on each side:

-10 - 16x = 54 - 8x + 4x

To isolate the x terms on one side and the constant terms on the other side, let's subtract 54 and add 16x to both sides:

-10 - 16x - 54 + 16x = 54 - 8x + 4x - 54 + 16x

Simplify:

-64 = 8x

Finally, divide both sides by 8 to solve for x:

x = -64 / 8

Simplify the fraction:

x = -8

Therefore, the correct response is option B: -8.

Answer 16

In the inequality, what are all the possible values of x?

−8x + 6 ≤ 2(−3x + 1)
Responses
A x ≥ 2
B x ≤ 2
C x > 12
D x < −1

Answer 17

Let's solve the inequality step by step:

−8x + 6 ≤ 2(−3x + 1)

First, distribute 2 to -3x and 1:

−8x + 6 ≤ -6x + 2

Next, let's isolate x by bringing all x terms to one side and constant terms to the other side:

−8x + 6x ≤ 2 - 6

-2x ≤ -4

Now, divide both sides of the inequality by -2. Remember to reverse the inequality when dividing by a negative number:

x ≥ 2

Therefore, all the possible values of x are greater than or equal to 2.

The correct response is option A: x ≥ 2.