Solve the inequality, -3x - 2 < 5. Write the solution as an inequality with no spaces. You may leave the fraction in improper form.
To solve the inequality -3x - 2 < 5, we need to isolate the variable x. Let's start by adding 2 to both sides of the inequality:
-3x - 2 + 2 < 5 + 2
-3x < 7
Next, we divide both sides of the inequality by -3. Since we are dividing by a negative number, we need to reverse the inequality sign:
(-3x)/(-3) > 7/(-3)
x > -7/3
So, the solution to the inequality is x > -7/3.
To solve the inequality -3x - 2 < 5, we need to isolate the variable x.
Step 1: Begin by adding 2 to both sides of the inequality:
-3x - 2 + 2 < 5 + 2
-3x < 7
Step 2: Next, divide both sides of the inequality by -3. Remember that when we divide by a negative number, the inequality sign flips:
-3x/-3 > 7/-3
x > -7/3
Therefore, the solution to the inequality -3x - 2 < 5 is x > -7/3.
add two to each side.
-3x<7
divide by -3 (reverse the inequality)
x>21
check that.