Solve the one-variable inequality −15x<−45 .(1 point)%0D%0AResponses%0D%0A%0D%0Ax>675%0D%0Ax greater than 675%0D%0A%0D%0Ax>3%0D%0Ax greater than 3%0D%0A%0D%0Ax<−675%0D%0Ax less than negative 675%0D%0A%0D%0Ax<3
To solve the inequality −15x<−45, we need to divide both sides of the inequality by -15. However, when we divide by a negative number, the direction of the inequality changes. So we have:
−15x/-15 > −45/-15
Simplifying, we get:
x > 3
Therefore, the correct solution is x greater than 3.