To solve the inequalities, we will isolate the variable on one side and divide both sides by the coefficient.
1) 5x < 25
To isolate x, we need to divide both sides of the inequality by 5.
(5x)/5 < 25/5
x < 5
Therefore, the solution for 5x < 25 is x < 5.
2) -5y < 25
To isolate y, we need to divide both sides of the inequality by -5. However, when we divide by a negative number, we need to flip the inequality sign.
(-5y)/(-5) > 25/(-5)
y > -5
Therefore, the solution for -5y < 25 is y > -5.
3) 5z < -25
To isolate z, we need to divide both sides of the inequality by 5.
(5z)/5 < (-25)/5
z < -5
Therefore, the solution for 5z < -25 is z < -5.
Solve the following inequalities
5x < 25
-5y < 25
5z < -25
1 answer
1 answer