2t+8>-4(t+1)
To solve the inequality 2t + 8 > -4(t + 1), we can start by distributing the -4 to both terms inside the parentheses:
2t + 8 > -4t - 4
Next, we can combine like terms by adding 4t to both sides:
2t + 4t + 8 > -4 - 4t
This simplifies to:
6t + 8 > -4 - 4t
To isolate the variable t, we can subtract 6t from both sides:
6t - 6t + 8 > -4 - 4t - 6t
This simplifies to:
8 > -4 - 10t
Next, we can add 4 to both sides:
8 + 4 > -4 + 4 - 10t
This gives us:
12 > -10t
Finally, we divide both sides by -10, remembering that when dividing by a negative number, we need to flip the inequality sign:
12/-10 < t
Simplifying this:
-6/5 < t
So, the solution to the inequality 2t + 8 > -4(t + 1) is t > -6/5.
To solve the inequality 2t + 8 > -4(t + 1), follow these steps:
Step 1: Distribute the -4 to terms inside the parentheses:
2t + 8 > -4t - 4
Step 2: Combine like terms:
6t + 8 > -4
Step 3: Subtract 8 from both sides to isolate the variable term:
6t > -12
Step 4: Divide both sides by 6 to solve for t:
t > -2
The solution to the inequality is t > -2.
To solve the inequality 2t + 8 > -4(t + 1), you can follow these steps:
Step 1: Distribute the -4 to the terms inside the parentheses.
2t + 8 > -4t - 4
Step 2: Combine like terms.
2t + 8 > -4t - 4
2t + 4t > -4 - 8
6t > -12
Step 3: Divide both sides of the inequality by 6 to isolate t.
6t/6 > -12/6
t > -2
So the solution to the inequality 2t + 8 > -4(t + 1) is t > -2.