Solve Linear Inequality in One Variable

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subtract 2 from both sides and your answer is

x = 10

subtract 2 from both sides and your answer is

x > 10

subtract 2 from both sides and your answer is

X < 10

divide by 5 on both sides and your answer is

x = 2

divide by 5 on both sides and your answer is

x < 2

divide by 5 on both sides and your answer is

x > 2

subtract 2 from both sides and your answer is

x > 6

subtract 2 from both sides and your answer is

x = 6

subtract 2 from both sides and then divide by 3 on both sides and your answer is

x > 2

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x < 4

x < -2

x = 4

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<, >

≤, ≥

divide by -2 o both sided and your answer will be

x = -2

divide by -2 on both sides and you will switch the direction of the inequality since you are dividing by a negative and your answer will be

x ≥ -2

divide by -2 on both sides and your answer will be

x ≤ -2

≤, ≥

<, >

divide both sides by -3 and your answer is

x < 4

x = 4

divide both sides by -3 and your answer is

x > 4

because you divided by a negative and had to flip the inequality symbol

multiply both sides by -2 and your answer will be

x ≤ -6

because you multiplied by a negative you must switch the inequality

multiply both sides by -2 and your answer will be

x ≥ -6

divide both sides by -2 and you get

x ≥ -2/3

(0,5)

(-2,2)

(-3,4)

(-1,1)

(-4,0)

(-4,3)

(1,3)

(4,-5)

(1,-5)

(-3,-5)

Yes, they are part of the solution set

No, they are NOT part of the solution set

y ≥ 2/5x + 1

y ≥ -2/5x + 1

y≤  2/5x + 1

y ≥ -2/5x - 1

(0, 0)

(-10, 20)

(3, 5)

(0, -2)

It has an equal sign.

The symbol is greater than.

The symbol has "or equal to."

You just guess.

(0, -2)

(-3, 0)

(-3, 2)

(1, 1)