A)
4 - 3x ≥ x + 16
First, let's simplify the equation by combining like terms:
4 - 3x ≥ x + 164 - 3x - x ≥ 164 - 4x ≥ 16-4x ≥ 12
Next, divide by -4 to solve for x:
x ≤ -3
Therefore, the solution for the inequality 4 - 3x ≥ x + 16 is x ≤ -3.
B)
7x + 1 > 2x - 9
7x + 1 > 2x - 95x + 1 > -9
Next, isolate x by subtracting 1 from both sides:
5x > -10
Then, divide by 5 to solve for x:
x > -2
Therefore, the solution for the inequality 7x + 1 > 2x - 9 is x > -2.
A)
4 - 3x ≥ x + 16
First, let's simplify the equation by combining like terms:
4 - 3x ≥ x + 16
4 - 3x - x ≥ 16
4 - 4x ≥ 16
-4x ≥ 12
Next, divide by -4 to solve for x:
x ≤ -3
Therefore, the solution for the inequality 4 - 3x ≥ x + 16 is x ≤ -3.
B)
7x + 1 > 2x - 9
First, let's simplify the equation by combining like terms:
7x + 1 > 2x - 9
5x + 1 > -9
Next, isolate x by subtracting 1 from both sides:
5x > -10
Then, divide by 5 to solve for x:
x > -2
Therefore, the solution for the inequality 7x + 1 > 2x - 9 is x > -2.