What is the answer to |2t+9|=2 ?

The answer to |2t+9|=2 is t=-11/2 \lor t=-7/2

Solve for t: |2t+9|=2

The solution is t=-11/2 \lor t=-7/2

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∣ 2 t + 9 ∣ = 2

t = - \frac{11}{2} or t = - \frac{7}{2}

Decimal Notation

t = - 5.5, t = - 3.5

Solution steps

∣ 2 t + 9 ∣ = 2

Apply absolute rule: If

∣ u ∣ = a, a > 0

then

u = a

u = - a

2 t + 9 = - 2 or 2 t + 9 = 2

2 t + 9 = - 2 or 2 t + 9 = 2

t = - \frac{11}{2} or t = - \frac{7}{2}

- 9 x + 2.3 = - 3 x + 1.7

x^{2} - 15 x + 56

- 2 < x \leq 4

15 = \frac{1}{3} (x + 9)

- 8 x \geq - 5