1. subtract over the x on the right side of the inequality so you get 4x<16 divide 4 over to get x alone the inequality turns into x<4. 2. subtract over the x on the right side so you get 11x<22 divide over 11 to get x<2 3. Add over 10 to get -8x>7x+30 subtract over 7x to get -15x>30 divide by -15 to get x<-2 make sure to flip over the sign since you're dividing by a negative 4. Add over the 4 to get 13x<12x+3 subtract over 12 and get x<3 5. I can't solve five since their is no inequality sign, the answers show it both ways so i need a starting one to go off on but it is either A or B just flip over the original sign and that will be the answer . 6. Distribute the 7 to get 7x-14<-5 add over the 14 and get 7x<9 divide over the 7 and get x<9/7
1. subtract over the x on the right side of the inequality so you get 4x<16 divide 4 over to get x alone the inequality turns into x<4. 2. subtract over the x on the right side so you get 11x<22 divide over 11 to get x<2 3. Add over 10 to get -8x>7x+30 subtract over 7x to get -15x>30 divide by -15 to get x<-2 make sure to flip over the sign since you're dividing by a negative 4. Add over the 4 to get 13x<12x+3 subtract over 12 and get x<3 5. I can't solve five since their is no inequality sign, the answers show it both ways so i need a starting one to go off on but it is either A or B just flip over the original sign and that will be the answer . 6. Distribute the 7 to get 7x-14<-5 add over the 14 and get 7x<9 divide over the 7 and get x<9/7
For number 1, you divide both sides by -3 and because it is a negative number, you need to flip the sign so the answer is d. For number 2, because you need to make the x by itself, you multiply both sides by 5 which gives you c. For number 3, you add both sides by 4 so you get a. For number 4, you find the number between -5 and 0 so the answer is c. For number 5, the answer is b. nothing much to explain. For number 6, its the greater than with the line underneath For number 7, the answer is d. For number 8, b For number 9, c For number 10, A
For number 1, you divide both sides by -3 and because it is a negative number, you need to flip the sign so the answer is d. For number 2, because you need to make the x by itself, you multiply both sides by 5 which gives you c. For number 3, you add both sides by 4 so you get a. For number 4, you find the number between -5 and 0 so the answer is c. For number 5, the answer is b. nothing much to explain. For number 6, its the greater than with the line underneath For number 7, the answer is d. For number 8, b For number 9, c For number 10, A
6|6 - 4x| = 8x +4 |6 - 4x| = 8/6 x + 4/6 = 4/3 x + 2/3 6 - 4x = 4/3 x + 2/3 or 6 - 4x = -4/3 x - 2/3 4/3 x + 4x = 6 - 2/3 or -4/3 x + 4x = 6 + 2/3 16/3 x = 16/3 or 8/3 x = 20/3 x = 1 or x = 5/2
8|x + 3/4| < 2 |x + 3/4| < 2/8 x + 3/4 < 1/4 or x + 3/4 > -1/4 x < 1/4 - 3/4 or x > -1/4 - 3/4 x < -1/2 or x > -1 -1 < x < -1/2
6|6 - 4x| = 8x +4 |6 - 4x| = 8/6 x + 4/6 = 4/3 x + 2/3 6 - 4x = 4/3 x + 2/3 or 6 - 4x = -4/3 x - 2/3 4/3 x + 4x = 6 - 2/3 or -4/3 x + 4x = 6 + 2/3 16/3 x = 16/3 or 8/3 x = 20/3 x = 1 or x = 5/2
8|x + 3/4| < 2 |x + 3/4| < 2/8 x + 3/4 < 1/4 or x + 3/4 > -1/4 x < 1/4 - 3/4 or x > -1/4 - 3/4 x < -1/2 or x > -1 -1 < x < -1/2