Determine the largest integer value of xxx in the solution of the following inequality.
−4x−5>-4
can't determine xxx, since no variable called xxx show up.
Will assume a typo.
-4x- 5 > -4
-4x > 1
x < -1/4
the largest integer that satisfies is -1
To solve the inequality −4x−5>-4, we need to isolate the variable x.
Step 1: Add 5 to both sides of the inequality to eliminate the constant term on the left side:
-4x - 5 + 5 > -4 + 5
which simplifies to:
-4x > 1
Step 2: Divide both sides of the inequality by -4. Since we are dividing by a negative number, we must reverse the inequality sign:
-4x / -4 < 1 / -4
This becomes:
x < -1/4
Therefore, the largest integer value of x that satisfies the inequality is x = -1.
To find the largest integer value of x in the solution of the inequality -4x - 5 > -4, we can solve the inequality step by step and isolate the variable x.
Step 1: Add 5 to both sides of the inequality to cancel out the -5 on the left side:
-4x - 5 + 5 > -4 + 5
-4x > 1
Step 2: Divide both sides of the inequality by -4. Since we are dividing by a negative number, the direction of the inequality sign will be switched.
-4x / -4 < 1 / -4
x < -1/4
Step 3: The largest integer value of x that satisfies the inequality x < -1/4 is one less than the greatest integer smaller than -1/4. In other words, it is the floor function of -1/4 minus 1:
x = floor(-1/4) - 1
x = -1 - 1
x = -2
Therefore, the largest integer value of x in the solution of the inequality -4x - 5 > -4 is -2.