Find the solution set of 4x−3>9 and x+6>−2 (1 point)
To solve the inequality 4x - 3 > 9, we first add 3 to both sides of the inequality:
4x - 3 + 3 > 9 + 3
This simplifies to:
4x > 12
Next, we divide both sides by 4 to solve for x:
(4x)/4 > 12/4
This simplifies to:
x > 3
To solve the inequality x + 6 > -2, we subtract 6 from both sides:
x + 6 - 6 > -2 - 6
This simplifies to:
x > -8
Therefore, the solution set for the system of inequalities 4x - 3 > 9 and x + 6 > -2 is:
x > 3 and x > -8
Since both inequalities have the same solution, we can combine them:
x > 3 and x > -8
Since the second inequality is true for all values of x, the solution set is:
x > 3