Question

Solve the inequality

7x + 3 > 10
A x>1
B x<1
C x>=1
D x> 13/7

Solve the inequality
-3 + 5x < 7x - 5
A x>4
B x<4
C x>1
D x<1

Solve the inequality
-2x + >= 3x + 20
A x=<15
B x=<3
C x>= 3
D x=< -3

Answer 1

x>1

x>1

X>-3

Explanation:

Answer 2

`\large\boxed{Q1.\ x>1}\\\boxed{Q2.\ x>1}\\\boxed{Q3.\ x\leq-3}`

Explanation:

`Q1.\\7x+3>10\qquad\text{subtract 3 from both sides}\\\\7x+3-3>10-3\\\\7x>7\qquad\text{divide both sides by 7}\\\\(7x)/(7)>(7)/(7)\\\\\boxed{x>1}\\\\Q2.\\-3+5x<7x-5\qquad\text{add 3 to both sides}\\\\-3+3+5x<7x-5+3\\\\5x<7x-2\qquad\text{subtract 7x from both sides}\\\\5x-7x<7x-7x-2\\\\-2x<-2\qquad\text{change the signs}\\\\2x>2\qquad\text{divide both sides by 2}\\\\(2x)/(2)>(2)/(2)\\\\\boxed{x>1}`

`Q3.\\-2x+5\geq3x+20\qquad\text{subtract 5 from both sides}\\\\-2x+5-5\geq3x+20-5\\\\-2x\geq3x+15\qquad\text{subtract 3x from both sides}\\\\-2x-3x\geq3x-3x+15\\\\-5x\geq15\qquad\text{change the signs}\\\\5x\leq-15\qquad\text{divide both sides by 5}\\\\\boxed{x\leq-3}`