Solve for u. 4+2u≥10

9 answers

To solve for u, we need to isolate the variable u on one side of the inequality.

Starting with 4 + 2u ≥ 10, we can subtract 4 from both sides:

4 + 2u - 4 ≥ 10 - 4

This simplifies to:

2u ≥ 6

Next, we divide both sides of the inequality by 2:

(2u)/2 ≥ 6/2

This gives us:

u ≥ 3

Therefore, the solution to the inequality 4 + 2u ≥ 10 is u ≥ 3.
4+3m≥10
To solve for m, we need to isolate the variable m on one side of the inequality.

Starting with 4 + 3m ≥ 10, we can subtract 4 from both sides:

4 + 3m - 4 ≥ 10 - 4

This simplifies to:

3m ≥ 6

Next, we divide both sides of the inequality by 3:

(3m)/3 ≥ 6/3

This gives us:

m ≥ 2

Therefore, the solution to the inequality 4 + 3m ≥ 10 is m ≥ 2.
Solve for a. a/2 –7< – 9
To solve for a, we need to isolate the variable a on one side of the inequality.

Starting with a/2 - 7 < -9, we can add 7 to both sides:

a/2 - 7 + 7 < -9 + 7

This simplifies to:

a/2 < -2

Next, we multiply both sides of the inequality by 2:

(2)(a/2) < (-2)(2)

This gives us:

a < -4

Therefore, the solution to the inequality a/2 - 7 < -9 is a < -4.
Solve for t. t/2 –15≤ – 14
To solve for t, we need to isolate the variable t on one side of the inequality.

Starting with t/2 - 15 ≤ -14, we can add 15 to both sides:

t/2 - 15 + 15 ≤ -14 + 15

This simplifies to:

t/2 ≤ 1

Next, we multiply both sides of the inequality by 2:

(2)(t/2) ≤ (1)(2)

This gives us:

t ≤ 2

Therefore, the solution to the inequality t/2 - 15 ≤ -14 is t ≤ 2.
Solve for b. 7b–6≤ – 20
To solve for b, we need to isolate the variable b on one side of the inequality.

Starting with 7b - 6 ≤ -20, we can add 6 to both sides:

7b - 6 + 6 ≤ -20 + 6

This simplifies to:

7b ≤ -14

Next, we divide both sides of the inequality by 7:

(7b)/7 ≤ (-14)/7

This gives us:

b ≤ -2

Therefore, the solution to the inequality 7b - 6 ≤ -20 is b ≤ -2.