Solve for k. k - 4 > 7 or k - 10 3 or k 3 or k 11 or k 11 or k < 2

Isolate k using Addition: We have two separate inequalities to solve: k - 4 > 7 and k - 10 7, 4 is being subtracted from k. Addition should be used to isolate k.Solve first inequality k - 4 > 7: Solve the first inequality k - 4 > 7. k - 4 > 7 k - 4 + 4 > 7 + 4 k > 11Isolate k using Addition: Now let's solve the second inequality k - 10 11 or k < 2.

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Solve for $k$ . $\newline$ k - 4 > 7 or k - 10 < -8 $\newline$ Write your answer as a compound inequality with integers. $\newline$ Choices: $\newline$ (A)k > 3 or k < 2 $\newline$ (B)k > 3 or k < -18 $\newline$ (C)k > 11 or k < -18 $\newline$ (D)k > 11 or k < 2

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Math Problems

Algebra 1

Solve compound inequalities

Full solution

Q. Solve for

k

\newline

k - 4 > 7

k - 10 < -8

\newline

Write your answer as a compound inequality with integers.

\newline

Choices:

\newline

(A)

k > 3

k < 2

\newline

(B)

k > 3

k < -18

\newline

(C)

k > 11

k < -18

\newline

(D)

k > 11

k < 2

Isolate $k$ using Addition: We have two separate inequalities to solve: k - 4 > 7 and k - 10 < -8. Let's solve the first inequality. $\newline$ Which operation should we use to isolate $k$ ? $\newline$ In k - 4 > 7, $4$ is being subtracted from $k$ . $\newline$ Addition should be used to isolate $k$ .
Solve first inequality k - 4 > 7: Solve the first inequality k - 4 > 7. $\newline$ k - 4 > 7 $\newline$ k - 4 + 4 > 7 + 4 $\newline$ k > 11
Isolate $k$ using Addition: Now let's solve the second inequality k - 10 < -8. $\newline$ Which operation should we use to isolate $k$ ? $\newline$ In k - 10 < -8, $10$ is being subtracted from $k$ . $\newline$ Addition should be used to isolate $k$ .
Solve second inequality k - 10 < -8: Solve the second inequality k - 10 < -8.
k - 10 < -8
k - 10 + 10 < -8 + 10
k < 2
Combine solutions for compound inequality: Combine the solutions of the two inequalities to form a compound inequality. $\newline$ The solutions are k > 11 or k < 2.