8 less than means -8 product of means multiplication of some things product of -3 and a number means -3 times a number is greater than means > -26 so -8+-3 times a number>-26 solve for 'a number' add 8 to both sides -3 times a number>-18 divide both sides by -3 remember tha twhen you divide or multiply by a negative, the inequality sign flips a number<6 so the number is less than 6
Notice the change in the inequality sign? This flip is done when the division and multiplication is made by a negative number. In this case, -3 is the divisor. It is generally done during the first part of the inequality. However, to avoid confusion, flipping the inequality sign is done at the end of the solution. Assuming: x = 5