what are he 4 steps in order to solve -3x+5 (alligator sigh with mouth open facing right with line underneath) 23

1 answer

To solve the equation -3x + 5 ≥ 23, follow these four steps:

Step 1: Subtract 5 from both sides of the equation.
-3x + 5 - 5 ≥ 23 - 5
-3x ≥ 18

Step 2: Divide both sides of the equation by -3. Remember to reverse the inequality symbol since you're dividing by a negative number.
-3x / -3 ≤ 18 / -3
x ≤ -6

Step 3: Write the solution as an inequality.
x ≤ -6

Step 4: Verify the solution by substituting a value less than or equal to -6 into the original inequality. For example, let's substitute x = -7.
-3(-7) + 5 ≥ 23
21 + 5 ≥ 23
26 ≥ 23

Since -7 satisfies the inequality, the solution is correct.