Sure! Let's solve the inequality: 2*(5v+8) <= 3v + 2.
Step 1: Distribute 2 to (5v+8):
This gives the equation 10v + 16 <= 3v + 2
Step 2: Subtract 3v from both sides:
This gives the equation 7v + 16 <= 2
Step 3: Subtract 16 from both sides:
This gives the equation 7v <= -14
Step 4: Divide by 7 on both sides:
This results in the solution v <= -2
Therefore, the solution to the inequality is v <= -2. This means V can be any number less than or equal to -2. To represent this in interval notation, we say v is in the interval (-∞, -2].
the solution to the inequality V 2(5v+8)<=3v+2 is v <= -2.