Solve using the multiplication principle
-7x <_ 35
the sign is an inequality equal greater or lesser than sign
would I substitute the sign for an equal sign and then divide 35 by -7
x=-5
-7 x -5= 35
how would I write the solution set?
can someone please help me?
To solve the inequality -7x ≤ 35 using the multiplication principle, we need to isolate the variable x.
Step 1: Divide both sides of the inequality by -7 to isolate x.
(-7x)/-7 ≥ 35/-7
Remember, when you divide or multiply an inequality by a negative number, you need to flip the direction of the inequality sign. So, the less than or equal to (≤) sign becomes a greater than or equal to (≥) sign.
Simplifying this equation, we have:
x ≥ -5
Therefore, the solution to the inequality -7x ≤ 35 is x ≥ -5.