Answer:
For the first inequality: x ≤ 6
For the second inequality: x > 5
Explanation:
To solve for x in the inequalities:
9x + 4 ≤ 581x - 2 > 3
Let's solve each one separately:
9x + 4 ≤ 58
Subtract 4 from both sides:
9x ≤ 58 - 4
9x ≤ 54
Now, divide both sides by 9:
x ≤ 54 / 9
x ≤ 6
So, for the first inequality, x ≤ 6.1x - 2 > 3
Add 2 to both sides:
1x > 3 + 2
1x > 5
So, for the second inequality, x > 5.
So, the solutions to the two inequalities are:
For the first inequality: x ≤ 6
For the second inequality: x > 5