7X+4>-13 or 9x+4>-23
The solution of the compound inequality is ? I am totally lost!!!!!!!!
To solve the compound inequality, we need to solve each inequality separately and then find their intersection.
Let's start with the first inequality:
7x + 4 > -13
To isolate the variable, we need to subtract 4 from both sides:
7x + 4 - 4 > -13 - 4
This simplifies to:
7x > -17
Now, divide both sides by 7 to solve for x:
(7x / 7) > (-17 / 7)
x > -17/7
Now, let's move on to the second inequality:
9x + 4 > -23
Similarly, we'll subtract 4 from both sides:
9x + 4 - 4 > -23 - 4
This simplifies to:
9x > -27
Divide both sides by 9 to solve for x:
(9x / 9) > (-27 / 9)
x > -27/9
Reducing -27/9 gives us:
x > -3
Now, we have two solutions for x:
-17/7 and -3
To find their intersection, we need to find the values that satisfy both inequalities:
x > -17/7 and x > -3
Since -17/7 > -3, the value of x that satisfies both inequalities is:
x > -17/7
So, the solution to the compound inequality is:
x > -17/7