Question

Solve the inequality for u.
2-9u≤14-6u

Answer 1

U ≥ -4

Explanation:

2−9u≤14−6u

Simplify both sides of the inequality.

−9u+2≤−6u+14

Add 6u to both sides.

−9u+2+6u≤−6u+14+6u

−3u+2≤14

Step 3: Subtract 2 from both sides.

−3u+2−2≤14−2

−3u≤12

Divide both sides by -3.

-3/3 ≤ 12/-3

u≥−4

Answer 2

u≥−4

Explanation:

2−9u≤14−6u

Add 6u to both sides.

2−9u+6u≤14

Combine −9u and 6u to get −3u.

2−3u≤14

Subtract 2 from both sides.

−3u≤14−2

Subtract 2 from 14 to get 12.

−3u≤12

Divide both sides by −3. Since −3 is negative, the inequality direction is changed.

`u \geqslant ( 12)/( - 3)`

Divide 12 by −3 to get −4.

answer =u≥−4