Question

Marcie solved the following inequality, and her work is shown below:

−2(x − 5) ≤ 6x + 18
−2x + 10 ≤ 6x + 18
−8x +10 ≤ 18
−8x ≤ 8
x ≤ −1

What mistake did Marcie make in solving the inequality?

Answer 1

Answer:

When x = - 1

For 1st equation

$- 2( - 1 - 5) = - 2( - 6) = 12$

$6( - 1) + 18 = 18 - 6 = 12$

For second equation

$- 2( - 1) + 10 = 13$

$6( - 1) + 18 = 12$

For third equation

$- 8( -1 ) + 10 = 10 + 8 = 18$

For fourth equation

$- 8( - 1) = 8$

❤️

Answer 2

Answer:

When x = - 1

For 1st equation

$\begin{gathered} - 2( - 1 - 5) = - 2( - 6) = 12 \\ \end{gathered}$

6( - 1) + 18 = 18 - 6 = 126(−1)+18=18−6=12

For second equation

- 2( - 1) + 10 = 13−2(−1)+10=13

6( - 1) + 18 = 126(−1)+18=12

For third equation

- 8( -1 ) + 10 = 10 + 8 = 18−8(−1)+10=10+8=18

For fourth equation

- 8( - 1) = 8−8(−1)=8